{
  "A": {
    "source": "PressureEnvelope3D.java",
    "parameters": [
      [
        "Lout",
        "0.9[mm]",
        ""
      ],
      [
        "robs",
        "0.5[mm]",
        ""
      ],
      [
        "adet",
        "50[um]",
        ""
      ],
      [
        "hdet",
        "5[um]",
        ""
      ],
      [
        "rhoL",
        "1000[kg/m^3]",
        ""
      ],
      [
        "cL",
        "1480[m/s]",
        ""
      ],
      [
        "muL",
        "1e-3[Pa*s]",
        ""
      ],
      [
        "DP",
        "100[kPa]",
        ""
      ],
      [
        "Tref",
        "293.15[K]",
        ""
      ],
      [
        "Rpop",
        "200[um]",
        ""
      ],
      [
        "tf",
        "1/(2*pi*1[MHz])",
        ""
      ],
      [
        "acP",
        "2.4889372178167041e-05[m]",
        ""
      ],
      [
        "mpcP",
        "1.1281810887041304e-12[kg]",
        ""
      ],
      [
        "S0cP",
        "126.55541943158264[J/(kg*K)]",
        ""
      ],
      [
        "uDcP",
        "-9810.2016267042909[J/kg]",
        ""
      ],
      [
        "rhoDcP",
        "1621.4903685295262[kg/m^3]",
        ""
      ],
      [
        "rDcP",
        "5.4969941859583877e-06[m]",
        ""
      ],
      [
        "bcP",
        "4.9778744356334081e-05[m]",
        "Matching radius; continuum case uses the infinite-near-field dilute limit"
      ],
      [
        "bscP",
        "bcP/acP",
        ""
      ],
      [
        "taucP",
        "acP*sqrt(rhoL/DP)",
        ""
      ],
      [
        "E0cP",
        "5.5000000000000003e-08[J]",
        "Fixed total retained source energy, including finite PFP internal and interface energy"
      ],
      [
        "sigcP",
        "0.054[N/m]",
        ""
      ],
      [
        "sigIcP",
        "0.00941[N/m]",
        ""
      ],
      [
        "rhoLcP",
        "1621.2302097446284[kg/m^3]",
        ""
      ],
      [
        "rhoVcP",
        "8.7819467089401986[kg/m^3]",
        ""
      ],
      [
        "gasCase",
        "0",
        ""
      ],
      [
        "acG",
        "gasA(gasCase)",
        ""
      ],
      [
        "bcG",
        "110[um]",
        "Fixed matching geometry across every gas-case input"
      ],
      [
        "bscG",
        "bcG/acG",
        ""
      ],
      [
        "taucG",
        "acG*sqrt(rhoL/DP)",
        ""
      ],
      [
        "E0cG",
        "gasE(gasCase)",
        ""
      ],
      [
        "betacG",
        "gasB(gasCase)",
        ""
      ],
      [
        "sigcG",
        "0.072[N/m]",
        ""
      ],
      [
        "kap",
        "1.4",
        ""
      ],
      [
        "ac3",
        "1.7235173594713674e-05[m]",
        ""
      ],
      [
        "mpc3",
        "3.746039178803531e-13[kg]",
        ""
      ],
      [
        "S0c3",
        "126.55604211988535[J/(kg*K)]",
        ""
      ],
      [
        "uDc3",
        "-9813.3604892542153[J/kg]",
        ""
      ],
      [
        "rhoDc3",
        "1621.5370905160592[kg/m^3]",
        ""
      ],
      [
        "rDc3",
        "3.8064395716509721e-06[m]",
        ""
      ],
      [
        "bc3",
        "3.4470347189427348e-05[m]",
        "Matching radius; continuum case uses the infinite-near-field dilute limit"
      ],
      [
        "bsc3",
        "bc3/ac3",
        ""
      ],
      [
        "tauc3",
        "ac3*sqrt(rhoL/DP)",
        ""
      ],
      [
        "E0c3",
        "5.5000000000000003e-08[J]",
        "Fixed total retained source energy, including finite PFP internal and interface energy"
      ],
      [
        "sigc3",
        "0.054[N/m]",
        ""
      ],
      [
        "sigIc3",
        "0.00941[N/m]",
        ""
      ],
      [
        "rhoLc3",
        "1621.2302097446284[kg/m^3]",
        ""
      ],
      [
        "rhoVc3",
        "8.7819467089401986[kg/m^3]",
        ""
      ],
      [
        "ac5",
        "1.4525420543577222e-05[m]",
        ""
      ],
      [
        "mpc5",
        "2.242355161814176e-13[kg]",
        ""
      ],
      [
        "S0c5",
        "126.55641985399375[J/(kg*K)]",
        ""
      ],
      [
        "uDc5",
        "-9815.2763353628288[J/kg]",
        ""
      ],
      [
        "rhoDc5",
        "1621.5654271537715[kg/m^3]",
        ""
      ],
      [
        "rDc5",
        "3.2079464129430387e-06[m]",
        ""
      ],
      [
        "bc5",
        "2.9050841087154444e-05[m]",
        "Matching radius; continuum case uses the infinite-near-field dilute limit"
      ],
      [
        "bsc5",
        "bc5/ac5",
        ""
      ],
      [
        "tauc5",
        "ac5*sqrt(rhoL/DP)",
        ""
      ],
      [
        "E0c5",
        "5.5000000000000003e-08[J]",
        "Fixed total retained source energy, including finite PFP internal and interface energy"
      ],
      [
        "sigc5",
        "0.054[N/m]",
        ""
      ],
      [
        "sigIc5",
        "0.00941[N/m]",
        ""
      ],
      [
        "rhoLc5",
        "1621.2302097446284[kg/m^3]",
        ""
      ],
      [
        "rhoVc5",
        "8.7819467089401986[kg/m^3]",
        ""
      ],
      [
        "acU",
        "5.3060975082711189e-06[m]",
        ""
      ],
      [
        "mpcU",
        "1.0928631037985286e-14[kg]",
        ""
      ],
      [
        "S0cU",
        "126.56059428419367[J/(kg*K)]",
        ""
      ],
      [
        "uDcU",
        "-9836.42985425392[J/kg]",
        ""
      ],
      [
        "rhoDcU",
        "1621.8782923900924[kg/m^3]",
        ""
      ],
      [
        "rDcU",
        "1.1717086368205036e-06[m]",
        ""
      ],
      [
        "bcU",
        "1[m]",
        "Matching radius; continuum case uses the infinite-near-field dilute limit"
      ],
      [
        "bscU",
        "bcU/acU",
        ""
      ],
      [
        "taucU",
        "acU*sqrt(rhoL/DP)",
        ""
      ],
      [
        "E0cU",
        "5.5000000000000003e-08[J]",
        "Fixed total retained source energy, including finite PFP internal and interface energy"
      ],
      [
        "sigcU",
        "0.054[N/m]",
        ""
      ],
      [
        "sigIcU",
        "0.00941[N/m]",
        ""
      ],
      [
        "rhoLcU",
        "1621.2302097446284[kg/m^3]",
        ""
      ],
      [
        "rhoVcU",
        "8.7819467089401986[kg/m^3]",
        ""
      ]
    ],
    "literal_variables": [
      [
        "cP",
        "vcP",
        "R1",
        "acP*r1"
      ],
      [
        "cP",
        "vcP",
        "U1",
        "acP*r1t"
      ],
      [
        "cP",
        "vcP",
        "Temp1",
        "Tref*theta1"
      ],
      [
        "cP",
        "vcP",
        "rhoLP1",
        "rhoLcP*exp(qL1)"
      ],
      [
        "cP",
        "vcP",
        "rhoVP1",
        "rhoVcP*exp(qV1)"
      ],
      [
        "cP",
        "vcP",
        "Vb1",
        "4*pi*R1^3/3"
      ],
      [
        "cP",
        "vcP",
        "pLP1",
        "pfpp(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "cP",
        "vcP",
        "pVP1",
        "pfpp(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "cP",
        "vcP",
        "uLP1",
        "pfpu(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cP",
        "vcP",
        "uVP1",
        "pfpu(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cP",
        "vcP",
        "gLP1",
        "pfpg(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cP",
        "vcP",
        "gVP1",
        "pfpg(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cP",
        "vcP",
        "fv1",
        "(Vb1-mpcP/rhoLP1)/(mpcP*(1/rhoVP1-1/rhoLP1))"
      ],
      [
        "cP",
        "vcP",
        "Rg1",
        "(max(fv1*mpcP/rhoVP1,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "cP",
        "vcP",
        "Sspec1",
        "((1-fv1)*(uLP1+pLP1/rhoLP1-gLP1)+fv1*(uVP1+pVP1/rhoVP1-gVP1))/Temp1"
      ],
      [
        "cP",
        "vcP",
        "qvol1",
        "4*pi*R1^2*U1"
      ],
      [
        "cP",
        "vcP",
        "pB1",
        "pLP1-2*sigcP/R1-4*muL*U1/R1"
      ],
      [
        "cP",
        "vcP",
        "En1",
        "2*pi*rhoL*R1^3*U1^2*(1-R1/bcP)"
      ],
      [
        "cP",
        "vcP",
        "Ei1",
        "mpcP*((1-fv1)*uLP1+fv1*uVP1)+4*pi*sigIcP*Rg1^2-mpcP*uDcP-DP*mpcP/rhoDcP-4*pi*sigcP*rDcP^2"
      ],
      [
        "cP",
        "vcP",
        "Ep1",
        "DP*Vb1+4*pi*sigcP*R1^2"
      ],
      [
        "cP",
        "vcP",
        "En",
        "1*(En1)"
      ],
      [
        "cP",
        "vcP",
        "Ei",
        "1*(Ei1)"
      ],
      [
        "cP",
        "vcP",
        "Ep",
        "1*(Ep1)"
      ],
      [
        "cP",
        "vcP",
        "Ein",
        "E0cP"
      ],
      [
        "cP",
        "vcP",
        "phiDt",
        "acP^2/taucP*chit"
      ],
      [
        "cP",
        "vcP",
        "pAc",
        "-rhoL*phiDt"
      ],
      [
        "cP",
        "vcP",
        "u2ac",
        "(acP^2/taucP)^2*(chix^2+chiy^2+chiz^2)"
      ],
      [
        "cP",
        "vcP",
        "Ea",
        "ivcP(rhoL/2*(u2ac+phiDt^2/cL^2))"
      ],
      [
        "cG",
        "vcG",
        "R1",
        "acG*r1"
      ],
      [
        "cG",
        "vcG",
        "U1",
        "acG*r1t"
      ],
      [
        "cG",
        "vcG",
        "pg1",
        "betacG*DP*r1^(-3*kap)"
      ],
      [
        "cG",
        "vcG",
        "pB1",
        "pg1-2*sigcG/R1-4*muL*U1/R1"
      ],
      [
        "cG",
        "vcG",
        "qvol1",
        "4*pi*R1^2*U1"
      ],
      [
        "cG",
        "vcG",
        "En",
        "2*pi*rhoL*R1^3*U1^2*(1-R1/bcG)"
      ],
      [
        "cG",
        "vcG",
        "Ei",
        "betacG*DP*4*pi*acG^3/(3*(kap-1))*r1^(-3*(kap-1))"
      ],
      [
        "cG",
        "vcG",
        "Ep",
        "DP*4*pi*R1^3/3+4*pi*sigcG*R1^2"
      ],
      [
        "cG",
        "vcG",
        "phiDt",
        "acG^2/taucG*chit"
      ],
      [
        "cG",
        "vcG",
        "pAc",
        "-rhoL*phiDt"
      ],
      [
        "cG",
        "vcG",
        "u2ac",
        "(acG^2/taucG)^2*(chix^2+chiy^2+chiz^2)"
      ],
      [
        "cG",
        "vcG",
        "Ea",
        "ivcG(rhoL/2*(u2ac+phiDt^2/cL^2))"
      ],
      [
        "c3",
        "vc3",
        "R1",
        "ac3*r1"
      ],
      [
        "c3",
        "vc3",
        "U1",
        "ac3*r1t"
      ],
      [
        "c3",
        "vc3",
        "Temp1",
        "Tref*theta1"
      ],
      [
        "c3",
        "vc3",
        "rhoLP1",
        "rhoLc3*exp(qL1)"
      ],
      [
        "c3",
        "vc3",
        "rhoVP1",
        "rhoVc3*exp(qV1)"
      ],
      [
        "c3",
        "vc3",
        "Vb1",
        "4*pi*R1^3/3"
      ],
      [
        "c3",
        "vc3",
        "pLP1",
        "pfpp(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "pVP1",
        "pfpp(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "uLP1",
        "pfpu(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "uVP1",
        "pfpu(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gLP1",
        "pfpg(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gVP1",
        "pfpg(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "fv1",
        "(Vb1-mpc3/rhoLP1)/(mpc3*(1/rhoVP1-1/rhoLP1))"
      ],
      [
        "c3",
        "vc3",
        "Rg1",
        "(max(fv1*mpc3/rhoVP1,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c3",
        "vc3",
        "Sspec1",
        "((1-fv1)*(uLP1+pLP1/rhoLP1-gLP1)+fv1*(uVP1+pVP1/rhoVP1-gVP1))/Temp1"
      ],
      [
        "c3",
        "vc3",
        "qvol1",
        "4*pi*R1^2*U1"
      ],
      [
        "c3",
        "vc3",
        "pB1",
        "pLP1-2*sigc3/R1-4*muL*U1/R1"
      ],
      [
        "c3",
        "vc3",
        "En1",
        "2*pi*rhoL*R1^3*U1^2*(1-R1/bc3)"
      ],
      [
        "c3",
        "vc3",
        "Ei1",
        "mpc3*((1-fv1)*uLP1+fv1*uVP1)+4*pi*sigIc3*Rg1^2-mpc3*uDc3-DP*mpc3/rhoDc3-4*pi*sigc3*rDc3^2"
      ],
      [
        "c3",
        "vc3",
        "Ep1",
        "DP*Vb1+4*pi*sigc3*R1^2"
      ],
      [
        "c3",
        "vc3",
        "R2",
        "ac3*r2"
      ],
      [
        "c3",
        "vc3",
        "U2",
        "ac3*r2t"
      ],
      [
        "c3",
        "vc3",
        "Temp2",
        "Tref*theta2"
      ],
      [
        "c3",
        "vc3",
        "rhoLP2",
        "rhoLc3*exp(qL2)"
      ],
      [
        "c3",
        "vc3",
        "rhoVP2",
        "rhoVc3*exp(qV2)"
      ],
      [
        "c3",
        "vc3",
        "Vb2",
        "4*pi*R2^3/3"
      ],
      [
        "c3",
        "vc3",
        "pLP2",
        "pfpp(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "pVP2",
        "pfpp(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "uLP2",
        "pfpu(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "uVP2",
        "pfpu(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gLP2",
        "pfpg(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gVP2",
        "pfpg(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "fv2",
        "(Vb2-mpc3/rhoLP2)/(mpc3*(1/rhoVP2-1/rhoLP2))"
      ],
      [
        "c3",
        "vc3",
        "Rg2",
        "(max(fv2*mpc3/rhoVP2,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c3",
        "vc3",
        "Sspec2",
        "((1-fv2)*(uLP2+pLP2/rhoLP2-gLP2)+fv2*(uVP2+pVP2/rhoVP2-gVP2))/Temp2"
      ],
      [
        "c3",
        "vc3",
        "qvol2",
        "4*pi*R2^2*U2"
      ],
      [
        "c3",
        "vc3",
        "pB2",
        "pLP2-2*sigc3/R2-4*muL*U2/R2"
      ],
      [
        "c3",
        "vc3",
        "En2",
        "2*pi*rhoL*R2^3*U2^2*(1-R2/bc3)"
      ],
      [
        "c3",
        "vc3",
        "Ei2",
        "mpc3*((1-fv2)*uLP2+fv2*uVP2)+4*pi*sigIc3*Rg2^2-mpc3*uDc3-DP*mpc3/rhoDc3-4*pi*sigc3*rDc3^2"
      ],
      [
        "c3",
        "vc3",
        "Ep2",
        "DP*Vb2+4*pi*sigc3*R2^2"
      ],
      [
        "c3",
        "vc3",
        "R3",
        "ac3*r3"
      ],
      [
        "c3",
        "vc3",
        "U3",
        "ac3*r3t"
      ],
      [
        "c3",
        "vc3",
        "Temp3",
        "Tref*theta3"
      ],
      [
        "c3",
        "vc3",
        "rhoLP3",
        "rhoLc3*exp(qL3)"
      ],
      [
        "c3",
        "vc3",
        "rhoVP3",
        "rhoVc3*exp(qV3)"
      ],
      [
        "c3",
        "vc3",
        "Vb3",
        "4*pi*R3^3/3"
      ],
      [
        "c3",
        "vc3",
        "pLP3",
        "pfpp(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "pVP3",
        "pfpp(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c3",
        "vc3",
        "uLP3",
        "pfpu(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "uVP3",
        "pfpu(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gLP3",
        "pfpg(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "gVP3",
        "pfpg(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c3",
        "vc3",
        "fv3",
        "(Vb3-mpc3/rhoLP3)/(mpc3*(1/rhoVP3-1/rhoLP3))"
      ],
      [
        "c3",
        "vc3",
        "Rg3",
        "(max(fv3*mpc3/rhoVP3,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c3",
        "vc3",
        "Sspec3",
        "((1-fv3)*(uLP3+pLP3/rhoLP3-gLP3)+fv3*(uVP3+pVP3/rhoVP3-gVP3))/Temp3"
      ],
      [
        "c3",
        "vc3",
        "qvol3",
        "4*pi*R3^2*U3"
      ],
      [
        "c3",
        "vc3",
        "pB3",
        "pLP3-2*sigc3/R3-4*muL*U3/R3"
      ],
      [
        "c3",
        "vc3",
        "En3",
        "2*pi*rhoL*R3^3*U3^2*(1-R3/bc3)"
      ],
      [
        "c3",
        "vc3",
        "Ei3",
        "mpc3*((1-fv3)*uLP3+fv3*uVP3)+4*pi*sigIc3*Rg3^2-mpc3*uDc3-DP*mpc3/rhoDc3-4*pi*sigc3*rDc3^2"
      ],
      [
        "c3",
        "vc3",
        "Ep3",
        "DP*Vb3+4*pi*sigc3*R3^2"
      ],
      [
        "c3",
        "vc3",
        "En",
        "1*(En1+En2+En3)"
      ],
      [
        "c3",
        "vc3",
        "Ei",
        "1*(Ei1+Ei2+Ei3)"
      ],
      [
        "c3",
        "vc3",
        "Ep",
        "1*(Ep1+Ep2+Ep3)"
      ],
      [
        "c3",
        "vc3",
        "Ein",
        "E0c3"
      ],
      [
        "c3",
        "vc3",
        "phiDt",
        "ac3^2/tauc3*chit"
      ],
      [
        "c3",
        "vc3",
        "pAc",
        "-rhoL*phiDt"
      ],
      [
        "c3",
        "vc3",
        "u2ac",
        "(ac3^2/tauc3)^2*(chix^2+chiy^2+chiz^2)"
      ],
      [
        "c3",
        "vc3",
        "Ea",
        "ivc3(rhoL/2*(u2ac+phiDt^2/cL^2))"
      ],
      [
        "c5",
        "vc5",
        "R1",
        "ac5*r1"
      ],
      [
        "c5",
        "vc5",
        "U1",
        "ac5*r1t"
      ],
      [
        "c5",
        "vc5",
        "Temp1",
        "Tref*theta1"
      ],
      [
        "c5",
        "vc5",
        "rhoLP1",
        "rhoLc5*exp(qL1)"
      ],
      [
        "c5",
        "vc5",
        "rhoVP1",
        "rhoVc5*exp(qV1)"
      ],
      [
        "c5",
        "vc5",
        "Vb1",
        "4*pi*R1^3/3"
      ],
      [
        "c5",
        "vc5",
        "pLP1",
        "pfpp(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "pVP1",
        "pfpp(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "uLP1",
        "pfpu(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "uVP1",
        "pfpu(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gLP1",
        "pfpg(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gVP1",
        "pfpg(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "fv1",
        "(Vb1-mpc5/rhoLP1)/(mpc5*(1/rhoVP1-1/rhoLP1))"
      ],
      [
        "c5",
        "vc5",
        "Rg1",
        "(max(fv1*mpc5/rhoVP1,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c5",
        "vc5",
        "Sspec1",
        "((1-fv1)*(uLP1+pLP1/rhoLP1-gLP1)+fv1*(uVP1+pVP1/rhoVP1-gVP1))/Temp1"
      ],
      [
        "c5",
        "vc5",
        "qvol1",
        "4*pi*R1^2*U1"
      ],
      [
        "c5",
        "vc5",
        "pB1",
        "pLP1-2*sigc5/R1-4*muL*U1/R1"
      ],
      [
        "c5",
        "vc5",
        "En1",
        "2*pi*rhoL*R1^3*U1^2*(1-R1/bc5)"
      ],
      [
        "c5",
        "vc5",
        "Ei1",
        "mpc5*((1-fv1)*uLP1+fv1*uVP1)+4*pi*sigIc5*Rg1^2-mpc5*uDc5-DP*mpc5/rhoDc5-4*pi*sigc5*rDc5^2"
      ],
      [
        "c5",
        "vc5",
        "Ep1",
        "DP*Vb1+4*pi*sigc5*R1^2"
      ],
      [
        "c5",
        "vc5",
        "R2",
        "ac5*r2"
      ],
      [
        "c5",
        "vc5",
        "U2",
        "ac5*r2t"
      ],
      [
        "c5",
        "vc5",
        "Temp2",
        "Tref*theta2"
      ],
      [
        "c5",
        "vc5",
        "rhoLP2",
        "rhoLc5*exp(qL2)"
      ],
      [
        "c5",
        "vc5",
        "rhoVP2",
        "rhoVc5*exp(qV2)"
      ],
      [
        "c5",
        "vc5",
        "Vb2",
        "4*pi*R2^3/3"
      ],
      [
        "c5",
        "vc5",
        "pLP2",
        "pfpp(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "pVP2",
        "pfpp(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "uLP2",
        "pfpu(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "uVP2",
        "pfpu(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gLP2",
        "pfpg(Temp2/1[K],rhoLP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gVP2",
        "pfpg(Temp2/1[K],rhoVP2/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "fv2",
        "(Vb2-mpc5/rhoLP2)/(mpc5*(1/rhoVP2-1/rhoLP2))"
      ],
      [
        "c5",
        "vc5",
        "Rg2",
        "(max(fv2*mpc5/rhoVP2,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c5",
        "vc5",
        "Sspec2",
        "((1-fv2)*(uLP2+pLP2/rhoLP2-gLP2)+fv2*(uVP2+pVP2/rhoVP2-gVP2))/Temp2"
      ],
      [
        "c5",
        "vc5",
        "qvol2",
        "4*pi*R2^2*U2"
      ],
      [
        "c5",
        "vc5",
        "pB2",
        "pLP2-2*sigc5/R2-4*muL*U2/R2"
      ],
      [
        "c5",
        "vc5",
        "En2",
        "2*pi*rhoL*R2^3*U2^2*(1-R2/bc5)"
      ],
      [
        "c5",
        "vc5",
        "Ei2",
        "mpc5*((1-fv2)*uLP2+fv2*uVP2)+4*pi*sigIc5*Rg2^2-mpc5*uDc5-DP*mpc5/rhoDc5-4*pi*sigc5*rDc5^2"
      ],
      [
        "c5",
        "vc5",
        "Ep2",
        "DP*Vb2+4*pi*sigc5*R2^2"
      ],
      [
        "c5",
        "vc5",
        "R3",
        "ac5*r3"
      ],
      [
        "c5",
        "vc5",
        "U3",
        "ac5*r3t"
      ],
      [
        "c5",
        "vc5",
        "Temp3",
        "Tref*theta3"
      ],
      [
        "c5",
        "vc5",
        "rhoLP3",
        "rhoLc5*exp(qL3)"
      ],
      [
        "c5",
        "vc5",
        "rhoVP3",
        "rhoVc5*exp(qV3)"
      ],
      [
        "c5",
        "vc5",
        "Vb3",
        "4*pi*R3^3/3"
      ],
      [
        "c5",
        "vc5",
        "pLP3",
        "pfpp(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "pVP3",
        "pfpp(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "uLP3",
        "pfpu(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "uVP3",
        "pfpu(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gLP3",
        "pfpg(Temp3/1[K],rhoLP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gVP3",
        "pfpg(Temp3/1[K],rhoVP3/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "fv3",
        "(Vb3-mpc5/rhoLP3)/(mpc5*(1/rhoVP3-1/rhoLP3))"
      ],
      [
        "c5",
        "vc5",
        "Rg3",
        "(max(fv3*mpc5/rhoVP3,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c5",
        "vc5",
        "Sspec3",
        "((1-fv3)*(uLP3+pLP3/rhoLP3-gLP3)+fv3*(uVP3+pVP3/rhoVP3-gVP3))/Temp3"
      ],
      [
        "c5",
        "vc5",
        "qvol3",
        "4*pi*R3^2*U3"
      ],
      [
        "c5",
        "vc5",
        "pB3",
        "pLP3-2*sigc5/R3-4*muL*U3/R3"
      ],
      [
        "c5",
        "vc5",
        "En3",
        "2*pi*rhoL*R3^3*U3^2*(1-R3/bc5)"
      ],
      [
        "c5",
        "vc5",
        "Ei3",
        "mpc5*((1-fv3)*uLP3+fv3*uVP3)+4*pi*sigIc5*Rg3^2-mpc5*uDc5-DP*mpc5/rhoDc5-4*pi*sigc5*rDc5^2"
      ],
      [
        "c5",
        "vc5",
        "Ep3",
        "DP*Vb3+4*pi*sigc5*R3^2"
      ],
      [
        "c5",
        "vc5",
        "R4",
        "ac5*r4"
      ],
      [
        "c5",
        "vc5",
        "U4",
        "ac5*r4t"
      ],
      [
        "c5",
        "vc5",
        "Temp4",
        "Tref*theta4"
      ],
      [
        "c5",
        "vc5",
        "rhoLP4",
        "rhoLc5*exp(qL4)"
      ],
      [
        "c5",
        "vc5",
        "rhoVP4",
        "rhoVc5*exp(qV4)"
      ],
      [
        "c5",
        "vc5",
        "Vb4",
        "4*pi*R4^3/3"
      ],
      [
        "c5",
        "vc5",
        "pLP4",
        "pfpp(Temp4/1[K],rhoLP4/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "pVP4",
        "pfpp(Temp4/1[K],rhoVP4/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "uLP4",
        "pfpu(Temp4/1[K],rhoLP4/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "uVP4",
        "pfpu(Temp4/1[K],rhoVP4/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gLP4",
        "pfpg(Temp4/1[K],rhoLP4/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gVP4",
        "pfpg(Temp4/1[K],rhoVP4/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "fv4",
        "(Vb4-mpc5/rhoLP4)/(mpc5*(1/rhoVP4-1/rhoLP4))"
      ],
      [
        "c5",
        "vc5",
        "Rg4",
        "(max(fv4*mpc5/rhoVP4,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c5",
        "vc5",
        "Sspec4",
        "((1-fv4)*(uLP4+pLP4/rhoLP4-gLP4)+fv4*(uVP4+pVP4/rhoVP4-gVP4))/Temp4"
      ],
      [
        "c5",
        "vc5",
        "qvol4",
        "4*pi*R4^2*U4"
      ],
      [
        "c5",
        "vc5",
        "pB4",
        "pLP4-2*sigc5/R4-4*muL*U4/R4"
      ],
      [
        "c5",
        "vc5",
        "En4",
        "2*pi*rhoL*R4^3*U4^2*(1-R4/bc5)"
      ],
      [
        "c5",
        "vc5",
        "Ei4",
        "mpc5*((1-fv4)*uLP4+fv4*uVP4)+4*pi*sigIc5*Rg4^2-mpc5*uDc5-DP*mpc5/rhoDc5-4*pi*sigc5*rDc5^2"
      ],
      [
        "c5",
        "vc5",
        "Ep4",
        "DP*Vb4+4*pi*sigc5*R4^2"
      ],
      [
        "c5",
        "vc5",
        "R5",
        "ac5*r5"
      ],
      [
        "c5",
        "vc5",
        "U5",
        "ac5*r5t"
      ],
      [
        "c5",
        "vc5",
        "Temp5",
        "Tref*theta5"
      ],
      [
        "c5",
        "vc5",
        "rhoLP5",
        "rhoLc5*exp(qL5)"
      ],
      [
        "c5",
        "vc5",
        "rhoVP5",
        "rhoVc5*exp(qV5)"
      ],
      [
        "c5",
        "vc5",
        "Vb5",
        "4*pi*R5^3/3"
      ],
      [
        "c5",
        "vc5",
        "pLP5",
        "pfpp(Temp5/1[K],rhoLP5/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "pVP5",
        "pfpp(Temp5/1[K],rhoVP5/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c5",
        "vc5",
        "uLP5",
        "pfpu(Temp5/1[K],rhoLP5/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "uVP5",
        "pfpu(Temp5/1[K],rhoVP5/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gLP5",
        "pfpg(Temp5/1[K],rhoLP5/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "gVP5",
        "pfpg(Temp5/1[K],rhoVP5/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c5",
        "vc5",
        "fv5",
        "(Vb5-mpc5/rhoLP5)/(mpc5*(1/rhoVP5-1/rhoLP5))"
      ],
      [
        "c5",
        "vc5",
        "Rg5",
        "(max(fv5*mpc5/rhoVP5,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c5",
        "vc5",
        "Sspec5",
        "((1-fv5)*(uLP5+pLP5/rhoLP5-gLP5)+fv5*(uVP5+pVP5/rhoVP5-gVP5))/Temp5"
      ],
      [
        "c5",
        "vc5",
        "qvol5",
        "4*pi*R5^2*U5"
      ],
      [
        "c5",
        "vc5",
        "pB5",
        "pLP5-2*sigc5/R5-4*muL*U5/R5"
      ],
      [
        "c5",
        "vc5",
        "En5",
        "2*pi*rhoL*R5^3*U5^2*(1-R5/bc5)"
      ],
      [
        "c5",
        "vc5",
        "Ei5",
        "mpc5*((1-fv5)*uLP5+fv5*uVP5)+4*pi*sigIc5*Rg5^2-mpc5*uDc5-DP*mpc5/rhoDc5-4*pi*sigc5*rDc5^2"
      ],
      [
        "c5",
        "vc5",
        "Ep5",
        "DP*Vb5+4*pi*sigc5*R5^2"
      ],
      [
        "c5",
        "vc5",
        "En",
        "1*(En1+En2+En3+En4+En5)"
      ],
      [
        "c5",
        "vc5",
        "Ei",
        "1*(Ei1+Ei2+Ei3+Ei4+Ei5)"
      ],
      [
        "c5",
        "vc5",
        "Ep",
        "1*(Ep1+Ep2+Ep3+Ep4+Ep5)"
      ],
      [
        "c5",
        "vc5",
        "Ein",
        "E0c5"
      ],
      [
        "c5",
        "vc5",
        "phiDt",
        "ac5^2/tauc5*chit"
      ],
      [
        "c5",
        "vc5",
        "pAc",
        "-rhoL*phiDt"
      ],
      [
        "c5",
        "vc5",
        "u2ac",
        "(ac5^2/tauc5)^2*(chix^2+chiy^2+chiz^2)"
      ],
      [
        "c5",
        "vc5",
        "Ea",
        "ivc5(rhoL/2*(u2ac+phiDt^2/cL^2))"
      ],
      [
        "cU",
        "vcU",
        "R1",
        "acU*r1"
      ],
      [
        "cU",
        "vcU",
        "U1",
        "acU*r1t"
      ],
      [
        "cU",
        "vcU",
        "Temp1",
        "Tref*theta1"
      ],
      [
        "cU",
        "vcU",
        "rhoLP1",
        "rhoLcU*exp(qL1)"
      ],
      [
        "cU",
        "vcU",
        "rhoVP1",
        "rhoVcU*exp(qV1)"
      ],
      [
        "cU",
        "vcU",
        "Vb1",
        "4*pi*R1^3/3"
      ],
      [
        "cU",
        "vcU",
        "pLP1",
        "pfpp(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "cU",
        "vcU",
        "pVP1",
        "pfpp(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "cU",
        "vcU",
        "uLP1",
        "pfpu(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cU",
        "vcU",
        "uVP1",
        "pfpu(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cU",
        "vcU",
        "gLP1",
        "pfpg(Temp1/1[K],rhoLP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cU",
        "vcU",
        "gVP1",
        "pfpg(Temp1/1[K],rhoVP1/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "cU",
        "vcU",
        "fv1",
        "(Vb1-mpcU/rhoLP1)/(mpcU*(1/rhoVP1-1/rhoLP1))"
      ],
      [
        "cU",
        "vcU",
        "Rg1",
        "(max(fv1*mpcU/rhoVP1,4*pi*(1[nm])^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "cU",
        "vcU",
        "Sspec1",
        "((1-fv1)*(uLP1+pLP1/rhoLP1-gLP1)+fv1*(uVP1+pVP1/rhoVP1-gVP1))/Temp1"
      ],
      [
        "cU",
        "vcU",
        "qvol1",
        "4*pi*R1^2*U1"
      ],
      [
        "cU",
        "vcU",
        "pB1",
        "pLP1-2*sigcU/R1-4*muL*U1/R1"
      ],
      [
        "cU",
        "vcU",
        "En1",
        "2*pi*rhoL*R1^3*U1^2*(1-R1/bcU)"
      ],
      [
        "cU",
        "vcU",
        "Ei1",
        "mpcU*((1-fv1)*uLP1+fv1*uVP1)+4*pi*sigIcU*Rg1^2-mpcU*uDcU-DP*mpcU/rhoDcU-4*pi*sigcU*rDcU^2"
      ],
      [
        "cU",
        "vcU",
        "Ep1",
        "DP*Vb1+4*pi*sigcU*R1^2"
      ],
      [
        "cU",
        "vcU",
        "En",
        "100*(En1)"
      ],
      [
        "cU",
        "vcU",
        "Ei",
        "100*(Ei1)"
      ],
      [
        "cU",
        "vcU",
        "Ep",
        "100*(Ep1)"
      ],
      [
        "cU",
        "vcU",
        "Ein",
        "E0cU"
      ],
      [
        "cU",
        "vcU",
        "phiDt",
        "acU^2/taucU*chit"
      ],
      [
        "cU",
        "vcU",
        "pAc",
        "-rhoL*phiDt"
      ],
      [
        "cU",
        "vcU",
        "u2ac",
        "(acU^2/taucU)^2*(chix^2+chiy^2+chiz^2)"
      ],
      [
        "cU",
        "vcU",
        "Ea",
        "ivcU(rhoL/2*(u2ac+phiDt^2/cL^2))"
      ]
    ],
    "analytic_functions": {
      "pfpp": "rr*28.866254046397302*TK*(1+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*(4)+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*(1)+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*(1)+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*(2)+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*(3)+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*(1-2*(rr/625.03377999999998)^2)+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*(3-2*(rr/625.03377999999998)^2)+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*(2-1*(rr/625.03377999999998)^1)+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*(2-2*(rr/625.03377999999998)^2)+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(1-2*1.1679999999999999*(rr/625.03377999999998)*((rr/625.03377999999998)-0.317))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(1-2*0.94399999999999995*(rr/625.03377999999998)*((rr/625.03377999999998)-0.70199999999999996))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(1-2*2.2799999999999998*(rr/625.03377999999998)*((rr/625.03377999999998)-0.68600000000000005))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(3-2*1.486*(rr/625.03377999999998)*((rr/625.03377999999998)-1.2569999999999999))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(2-2*1.78*(rr/625.03377999999998)*((rr/625.03377999999998)-0.94699999999999995)))",
      "pfpu": "28.866254046397302*TK*((-6.5375660406399998)*(421/TK)+14+5.7610000000000001*1.152019002375297*(421/TK)/(exp(1.152019002375297*(421/TK))-1)+19.370000000000001*2.4370546318289787*(421/TK)/(exp(2.4370546318289787*(421/TK))-1)+7.0960000000000001*4.7719714964370548*(421/TK)/(exp(4.7719714964370548*(421/TK))-1)+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*1+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*0.19+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*1+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*1+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*0.33000000000000002+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*1.51+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*2.2200000000000002+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*0.96999999999999997+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*2.54+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(0.75-2*2.1299999999999999*(421/TK)*((421/TK)-1.1399999999999999))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(0.375-2*2.1299999999999999*(421/TK)*((421/TK)-1.1850000000000001))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(0.5-2*2.1299999999999999*(421/TK)*((421/TK)-0.94999999999999996))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(1-2*1.865*(421/TK)*((421/TK)-1.02))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(0.81499999999999995-2*1.5900000000000001*(421/TK)*((421/TK)-1.0249999999999999)))",
      "pfpg": "28.866254046397302*TK*(1+log((rr/625.03377999999998))+9.4767038900500005+(-6.5375660406399998)*(421/TK)+14*log((421/TK))+5.7610000000000001*log(1-exp(-1.152019002375297*(421/TK)))+19.370000000000001*log(1-exp(-2.4370546318289787*(421/TK)))+7.0960000000000001*log(1-exp(-4.7719714964370548*(421/TK)))+(0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1+(1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19+(-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1+(-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1+(0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002+(-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2)+(-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2)+(1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1)+(-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2)+(-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2)+(1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2)+(-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2)+(-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2)+(-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2)+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*(4)+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*(1)+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*(1)+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*(2)+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*(3)+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*(1-2*(rr/625.03377999999998)^2)+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*(3-2*(rr/625.03377999999998)^2)+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*(2-1*(rr/625.03377999999998)^1)+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*(2-2*(rr/625.03377999999998)^2)+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(1-2*1.1679999999999999*(rr/625.03377999999998)*((rr/625.03377999999998)-0.317))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(1-2*0.94399999999999995*(rr/625.03377999999998)*((rr/625.03377999999998)-0.70199999999999996))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(1-2*2.2799999999999998*(rr/625.03377999999998)*((rr/625.03377999999998)-0.68600000000000005))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(3-2*1.486*(rr/625.03377999999998)*((rr/625.03377999999998)-1.2569999999999999))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(2-2*1.78*(rr/625.03377999999998)*((rr/625.03377999999998)-0.94699999999999995)))",
      "pfhp": "rr*24.59594552747884*TK*(1+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*(4)+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*(1)+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*(1)+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*(2)+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*(3)+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*(1-2*(rr/616.92664999999988)^2)+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*(3-2*(rr/616.92664999999988)^2)+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*(2-1*(rr/616.92664999999988)^1)+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*(2-2*(rr/616.92664999999988)^2)+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1-2*0.87749999999999995*(rr/616.92664999999988)*((rr/616.92664999999988)-0.35999999999999999))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(1-2*1*(rr/616.92664999999988)*((rr/616.92664999999988)-0.755))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(1-2*1.327*(rr/616.92664999999988)*((rr/616.92664999999988)-1.6930000000000001))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(3-2*1.1020000000000001*(rr/616.92664999999988)*((rr/616.92664999999988)-1.04))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(2-2*1.274*(rr/616.92664999999988)*((rr/616.92664999999988)-0.64600000000000002)))",
      "pfhu": "24.59594552747884*TK*((-9.8030217139900007)*(448/TK)+16+4.9020000000000001*0.9665178571428571*(448/TK)/(exp(0.9665178571428571*(448/TK))-1)+23.43*2.03125*(448/TK)/(exp(2.03125*(448/TK))-1)+10.52*4.4241071428571432*(448/TK)/(exp(4.4241071428571432*(448/TK))-1)+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*1+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*0.14599999999999999+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*1+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*1+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*0.39000000000000001+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*1.5600000000000001+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*2.25+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*0.98699999999999999+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*2.6019999999999999+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1.8700000000000001-2*1.171*(448/TK)*((448/TK)-1.254))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(0.96999999999999997-2*1.1399999999999999*(448/TK)*((448/TK)-1.3120000000000001))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(2.2200000000000002-2*0.64500000000000002*(448/TK)*((448/TK)-1.1779999999999999))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(1.7-2*0.65800000000000003*(448/TK)*((448/TK)-1.3260000000000001))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(1.3100000000000001-2*0.72699999999999998*(448/TK)*((448/TK)-0.90200000000000002)))",
      "pfhg": "24.59594552747884*TK*(1+log((rr/616.92664999999988))+14.486127460400001+(-9.8030217139900007)*(448/TK)+16*log((448/TK))+4.9020000000000001*log(1-exp(-0.9665178571428571*(448/TK)))+23.43*log(1-exp(-2.03125*(448/TK)))+10.52*log(1-exp(-4.4241071428571432*(448/TK)))+(0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1+(0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999+(-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1+(-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1+(0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001+(-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2)+(-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2)+(1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1)+(-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2)+(-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2)+(2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2)+(0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2)+(-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2)+(-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2)+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*(4)+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*(1)+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*(1)+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*(2)+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*(3)+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*(1-2*(rr/616.92664999999988)^2)+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*(3-2*(rr/616.92664999999988)^2)+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*(2-1*(rr/616.92664999999988)^1)+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*(2-2*(rr/616.92664999999988)^2)+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1-2*0.87749999999999995*(rr/616.92664999999988)*((rr/616.92664999999988)-0.35999999999999999))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(1-2*1*(rr/616.92664999999988)*((rr/616.92664999999988)-0.755))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(1-2*1.327*(rr/616.92664999999988)*((rr/616.92664999999988)-1.6930000000000001))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(3-2*1.1020000000000001*(rr/616.92664999999988)*((rr/616.92664999999988)-1.04))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(2-2*1.274*(rr/616.92664999999988)*((rr/616.92664999999988)-0.64600000000000002)))"
    },
    "note": "Literal-source extract. Matrix-loop variables and the weak surface expression are expanded separately for B. Native complete configuration remains the authoritative full settings record."
  },
  "B": {
    "source": "FreeCoreShellFine3D.java",
    "parameters": [
      [
        "a",
        "300[nm]",
        "Reference cavity radius"
      ],
      [
        "B",
        "20",
        "Outer radius / cavity radius"
      ],
      [
        "BK",
        "1000",
        "Bulk/shear modulus control"
      ],
      [
        "G",
        "10[kPa]",
        "Reference PAAm shear modulus; E approximately 30 kPa"
      ],
      [
        "lam",
        "1.8",
        "Analytic verification target and initial guess only; no displacement constraint"
      ],
      [
        "sigTest",
        "sigLL",
        "Reference constant surface energy coefficient"
      ],
      [
        "pLoad",
        "G/2*(5-4/lam-lam^(-4))+2*sigTest/(a*lam)",
        "Known pressure for the independent spherical elastic/capillary control"
      ],
      [
        "Qdep",
        "11.55[pJ]",
        "Net retained subsystem energy after supplied activation; no optical efficiency inferred"
      ],
      [
        "sigLV",
        "0.00941[N/m]",
        "PFP / saturated-air room-temperature reference; heated/nanoscale use is conditional"
      ],
      [
        "nucleusFloor",
        "a/100",
        "Numerical radius floor only; accepted states must be far above it"
      ],
      [
        "sigLL",
        "0.054[N/m]",
        "Pure PFP/water liquid-liquid reference; actual surfactant formulation is unresolved"
      ],
      [
        "Tref",
        "293.15[K]",
        ""
      ],
      [
        "rhoLref",
        "1621.2304497568995[kg/m^3]",
        ""
      ],
      [
        "rhoVref",
        "8.781946533312483[kg/m^3]",
        ""
      ],
      [
        "ad",
        "a",
        "Equivalent PFP droplet radius; distinct from the preformed cavity radius a"
      ],
      [
        "rhoD",
        "1623.3028161533516[kg/m^3]",
        ""
      ],
      [
        "mp",
        "4*pi*ad^3*rhoD/3",
        ""
      ],
      [
        "p0",
        "100[kPa]",
        ""
      ],
      [
        "sig",
        "sigLL",
        "Unused legacy alias: assumed PFP/gel outer coefficient; active loads use sigLL"
      ],
      [
        "lamFail",
        "2.1",
        "PAAm ultimate-stretch reference from Movahed 2016, not a certification of Li 2024 formulation"
      ]
    ],
    "literal_variables": [
      [
        "c",
        "surfenergy",
        "JF",
        "F11p*CF11+F12p*CF12+F13p*CF13"
      ],
      [
        "c",
        "surfenergy",
        "Js",
        "sqrt(CN1^2+CN2^2+CN3^2)"
      ],
      [
        "c",
        "surfenergy",
        "Vfree",
        "-ic((X+u)*CN1+(Y+v)*CN2+(Z+w)*CN3)/3"
      ],
      [
        "c",
        "surfenergy",
        "Rfree",
        "(3*Vfree/(4*pi))^(1/3)"
      ],
      [
        "c",
        "surfenergy",
        "Afree",
        "ic(Js)"
      ],
      [
        "c",
        "thermo",
        "pGel",
        "pLP-p0-2*sigLL/Rfree"
      ],
      [
        "c",
        "thermo",
        "Temp",
        "Tref*theta"
      ],
      [
        "c",
        "thermo",
        "rhoLP",
        "rhoLref*exp(qL)"
      ],
      [
        "c",
        "thermo",
        "rhoVP",
        "rhoVref*exp(qV)"
      ],
      [
        "c",
        "thermo",
        "Vb",
        "Vfree"
      ],
      [
        "c",
        "thermo",
        "pNeed",
        "pLP"
      ],
      [
        "c",
        "thermo",
        "pLP",
        "pfpp(Temp/1[K],rhoLP/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c",
        "thermo",
        "pVP",
        "pfpp(Temp/1[K],rhoVP/(1[kg/m^3]))*1[Pa]"
      ],
      [
        "c",
        "thermo",
        "gLP",
        "pfpg(Temp/1[K],rhoLP/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c",
        "thermo",
        "gVP",
        "pfpg(Temp/1[K],rhoVP/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c",
        "thermo",
        "uLP",
        "pfpu(Temp/1[K],rhoLP/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c",
        "thermo",
        "uVP",
        "pfpu(Temp/1[K],rhoVP/(1[kg/m^3]))*1[J/kg]"
      ],
      [
        "c",
        "thermo",
        "fv",
        "(Vb-mp/rhoLP)/(mp*(1/rhoVP-1/rhoLP))"
      ],
      [
        "c",
        "thermo",
        "fvDropSized",
        "(Vb-(4*pi*a^3*rhoD/3)/rhoLP)/((4*pi*a^3*rhoD/3)*(1/rhoVP-1/rhoLP))"
      ],
      [
        "c",
        "thermo",
        "UP",
        "mp*((1-fv)*uLP+fv*uVP)"
      ],
      [
        "c",
        "thermo",
        "Vgas",
        "fv*mp/rhoVP"
      ],
      [
        "c",
        "thermo",
        "Rg",
        "(max(Vgas,4*pi*nucleusFloor^3/3)*3/(4*pi))^(1/3)"
      ],
      [
        "c",
        "thermo",
        "shellThickness",
        "Rfree-Rg"
      ],
      [
        "c",
        "thermo",
        "WsTotal",
        "iv(solid.Ws)"
      ],
      [
        "c",
        "thermo",
        "Qmin",
        "UP-mp*pfpu(Tref/1[K],rhoD/(1[kg/m^3]))*1[J/kg]+WsTotal+p0*(Vb-4*pi*ad^3/3)+sigLL*Afree+4*pi*sigLV*Rg^2-4*pi*sigLL*ad^2"
      ],
      [
        "c",
        "thermo",
        "massResidual",
        "(rhoVP*(Vb-(1-fv)*mp/rhoLP)-fv*mp)/mp"
      ],
      [
        "c",
        "post",
        "stretch",
        "Rfree/a"
      ],
      [
        "c",
        "post",
        "qd",
        "(C11d+C22d+C33d)/3"
      ],
      [
        "c",
        "post",
        "pd",
        "sqrt(max(1e-24,((C11d-qd)^2+(C22d-qd)^2+(C33d-qd)^2+2*(C12d^2+C13d^2+C23d^2))/6))"
      ],
      [
        "c",
        "post",
        "stretchMax",
        "sqrt(max(0,qd+2*pd*cos(acos(rd)/3)))"
      ]
    ],
    "analytic_functions": {
      "pfpp": "rr*28.866254046397302*TK*(1+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*(4)+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*(1)+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*(1)+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*(2)+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*(3)+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*(1-2*(rr/625.03377999999998)^2)+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*(3-2*(rr/625.03377999999998)^2)+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*(2-1*(rr/625.03377999999998)^1)+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*(2-2*(rr/625.03377999999998)^2)+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(1-2*1.1679999999999999*(rr/625.03377999999998)*((rr/625.03377999999998)-0.317))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(1-2*0.94399999999999995*(rr/625.03377999999998)*((rr/625.03377999999998)-0.70199999999999996))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(1-2*2.2799999999999998*(rr/625.03377999999998)*((rr/625.03377999999998)-0.68600000000000005))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(3-2*1.486*(rr/625.03377999999998)*((rr/625.03377999999998)-1.2569999999999999))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(2-2*1.78*(rr/625.03377999999998)*((rr/625.03377999999998)-0.94699999999999995)))",
      "pfpu": "28.866254046397302*TK*((-6.5375660406399998)*(421/TK)+14+5.7610000000000001*1.152019002375297*(421/TK)/(exp(1.152019002375297*(421/TK))-1)+19.370000000000001*2.4370546318289787*(421/TK)/(exp(2.4370546318289787*(421/TK))-1)+7.0960000000000001*4.7719714964370548*(421/TK)/(exp(4.7719714964370548*(421/TK))-1)+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*1+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*0.19+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*1+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*1+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*0.33000000000000002+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*1.51+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*2.2200000000000002+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*0.96999999999999997+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*2.54+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(0.75-2*2.1299999999999999*(421/TK)*((421/TK)-1.1399999999999999))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(0.375-2*2.1299999999999999*(421/TK)*((421/TK)-1.1850000000000001))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(0.5-2*2.1299999999999999*(421/TK)*((421/TK)-0.94999999999999996))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(1-2*1.865*(421/TK)*((421/TK)-1.02))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(0.81499999999999995-2*1.5900000000000001*(421/TK)*((421/TK)-1.0249999999999999)))",
      "pfpg": "28.866254046397302*TK*(1+log((rr/625.03377999999998))+9.4767038900500005+(-6.5375660406399998)*(421/TK)+14*log((421/TK))+5.7610000000000001*log(1-exp(-1.152019002375297*(421/TK)))+19.370000000000001*log(1-exp(-2.4370546318289787*(421/TK)))+7.0960000000000001*log(1-exp(-4.7719714964370548*(421/TK)))+(0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1+(1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19+(-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1+(-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1+(0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002+(-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2)+(-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2)+(1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1)+(-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2)+(-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2)+(1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2)+(-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2)+(-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2)+(-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2)+((0.036359237000000003)*(rr/625.03377999999998)^4*(421/TK)^1)*(4)+((1.1222855)*(rr/625.03377999999998)^1*(421/TK)^0.19)*(1)+((-0.63721963999999998)*(rr/625.03377999999998)^1*(421/TK)^1)*(1)+((-1.3599905999999999)*(rr/625.03377999999998)^2*(421/TK)^1)*(2)+((0.24995429)*(rr/625.03377999999998)^3*(421/TK)^0.33000000000000002)*(3)+((-2.2913320000000001)*(rr/625.03377999999998)^1*(421/TK)^1.51*exp(-(rr/625.03377999999998)^2))*(1-2*(rr/625.03377999999998)^2)+((-0.95997986000000002)*(rr/625.03377999999998)^3*(421/TK)^2.2200000000000002*exp(-(rr/625.03377999999998)^2))*(3-2*(rr/625.03377999999998)^2)+((1.2463966)*(rr/625.03377999999998)^2*(421/TK)^0.96999999999999997*exp(-(rr/625.03377999999998)^1))*(2-1*(rr/625.03377999999998)^1)+((-0.41785522000000003)*(rr/625.03377999999998)^2*(421/TK)^2.54*exp(-(rr/625.03377999999998)^2))*(2-2*(rr/625.03377999999998)^2)+((-0.49360387)*(rr/625.03377999999998)^1*(421/TK)^0.75*exp(-1.1679999999999999*((rr/625.03377999999998)-0.317)^2-2.1299999999999999*((421/TK)-1.1399999999999999)^2))*(1-2*1.1679999999999999*(rr/625.03377999999998)*((rr/625.03377999999998)-0.317))+((1.8336733000000001)*(rr/625.03377999999998)^1*(421/TK)^0.375*exp(-0.94399999999999995*((rr/625.03377999999998)-0.70199999999999996)^2-2.1299999999999999*((421/TK)-1.1850000000000001)^2))*(1-2*0.94399999999999995*(rr/625.03377999999998)*((rr/625.03377999999998)-0.70199999999999996))+((-0.27152336999999999)*(rr/625.03377999999998)^1*(421/TK)^0.5*exp(-2.2799999999999998*((rr/625.03377999999998)-0.68600000000000005)^2-2.1299999999999999*((421/TK)-0.94999999999999996)^2))*(1-2*2.2799999999999998*(rr/625.03377999999998)*((rr/625.03377999999998)-0.68600000000000005))+((-0.11731069)*(rr/625.03377999999998)^3*(421/TK)^1*exp(-1.486*((rr/625.03377999999998)-1.2569999999999999)^2-1.865*((421/TK)-1.02)^2))*(3-2*1.486*(rr/625.03377999999998)*((rr/625.03377999999998)-1.2569999999999999))+((-0.48844599999999999)*(rr/625.03377999999998)^2*(421/TK)^0.81499999999999995*exp(-1.78*((rr/625.03377999999998)-0.94699999999999995)^2-1.5900000000000001*((421/TK)-1.0249999999999999)^2))*(2-2*1.78*(rr/625.03377999999998)*((rr/625.03377999999998)-0.94699999999999995)))",
      "pfhp": "rr*24.59594552747884*TK*(1+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*(4)+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*(1)+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*(1)+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*(2)+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*(3)+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*(1-2*(rr/616.92664999999988)^2)+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*(3-2*(rr/616.92664999999988)^2)+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*(2-1*(rr/616.92664999999988)^1)+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*(2-2*(rr/616.92664999999988)^2)+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1-2*0.87749999999999995*(rr/616.92664999999988)*((rr/616.92664999999988)-0.35999999999999999))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(1-2*1*(rr/616.92664999999988)*((rr/616.92664999999988)-0.755))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(1-2*1.327*(rr/616.92664999999988)*((rr/616.92664999999988)-1.6930000000000001))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(3-2*1.1020000000000001*(rr/616.92664999999988)*((rr/616.92664999999988)-1.04))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(2-2*1.274*(rr/616.92664999999988)*((rr/616.92664999999988)-0.64600000000000002)))",
      "pfhu": "24.59594552747884*TK*((-9.8030217139900007)*(448/TK)+16+4.9020000000000001*0.9665178571428571*(448/TK)/(exp(0.9665178571428571*(448/TK))-1)+23.43*2.03125*(448/TK)/(exp(2.03125*(448/TK))-1)+10.52*4.4241071428571432*(448/TK)/(exp(4.4241071428571432*(448/TK))-1)+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*1+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*0.14599999999999999+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*1+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*1+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*0.39000000000000001+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*1.5600000000000001+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*2.25+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*0.98699999999999999+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*2.6019999999999999+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1.8700000000000001-2*1.171*(448/TK)*((448/TK)-1.254))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(0.96999999999999997-2*1.1399999999999999*(448/TK)*((448/TK)-1.3120000000000001))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(2.2200000000000002-2*0.64500000000000002*(448/TK)*((448/TK)-1.1779999999999999))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(1.7-2*0.65800000000000003*(448/TK)*((448/TK)-1.3260000000000001))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(1.3100000000000001-2*0.72699999999999998*(448/TK)*((448/TK)-0.90200000000000002)))",
      "pfhg": "24.59594552747884*TK*(1+log((rr/616.92664999999988))+14.486127460400001+(-9.8030217139900007)*(448/TK)+16*log((448/TK))+4.9020000000000001*log(1-exp(-0.9665178571428571*(448/TK)))+23.43*log(1-exp(-2.03125*(448/TK)))+10.52*log(1-exp(-4.4241071428571432*(448/TK)))+(0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1+(0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999+(-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1+(-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1+(0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001+(-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2)+(-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2)+(1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1)+(-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2)+(-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2)+(2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2)+(0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2)+(-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2)+(-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2)+((0.035689273000000001)*(rr/616.92664999999988)^4*(448/TK)^1)*(4)+((0.89834616)*(rr/616.92664999999988)^1*(448/TK)^0.14599999999999999)*(1)+((-0.11619206999999999)*(rr/616.92664999999988)^1*(448/TK)^1)*(1)+((-1.6558706999999999)*(rr/616.92664999999988)^2*(448/TK)^1)*(2)+((0.30904009999999998)*(rr/616.92664999999988)^3*(448/TK)^0.39000000000000001)*(3)+((-3.0212884999999998)*(rr/616.92664999999988)^1*(448/TK)^1.5600000000000001*exp(-(rr/616.92664999999988)^2))*(1-2*(rr/616.92664999999988)^2)+((-1.309987)*(rr/616.92664999999988)^3*(448/TK)^2.25*exp(-(rr/616.92664999999988)^2))*(3-2*(rr/616.92664999999988)^2)+((1.4611604)*(rr/616.92664999999988)^2*(448/TK)^0.98699999999999999*exp(-(rr/616.92664999999988)^1))*(2-1*(rr/616.92664999999988)^1)+((-0.63849402)*(rr/616.92664999999988)^2*(448/TK)^2.6019999999999999*exp(-(rr/616.92664999999988)^2))*(2-2*(rr/616.92664999999988)^2)+((-0.40480926)*(rr/616.92664999999988)^1*(448/TK)^1.8700000000000001*exp(-0.87749999999999995*((rr/616.92664999999988)-0.35999999999999999)^2-1.171*((448/TK)-1.254)^2))*(1-2*0.87749999999999995*(rr/616.92664999999988)*((rr/616.92664999999988)-0.35999999999999999))+((2.3673483000000002)*(rr/616.92664999999988)^1*(448/TK)^0.96999999999999997*exp(-1*((rr/616.92664999999988)-0.755)^2-1.1399999999999999*((448/TK)-1.3120000000000001)^2))*(1-2*1*(rr/616.92664999999988)*((rr/616.92664999999988)-0.755))+((0.40072213000000001)*(rr/616.92664999999988)^1*(448/TK)^2.2200000000000002*exp(-1.327*((rr/616.92664999999988)-1.6930000000000001)^2-0.64500000000000002*((448/TK)-1.1779999999999999)^2))*(1-2*1.327*(rr/616.92664999999988)*((rr/616.92664999999988)-1.6930000000000001))+((-0.43534683000000002)*(rr/616.92664999999988)^3*(448/TK)^1.7*exp(-1.1020000000000001*((rr/616.92664999999988)-1.04)^2-0.65800000000000003*((448/TK)-1.3260000000000001)^2))*(3-2*1.1020000000000001*(rr/616.92664999999988)*((rr/616.92664999999988)-1.04))+((-0.90267664000000003)*(rr/616.92664999999988)^2*(448/TK)^1.3100000000000001*exp(-1.274*((rr/616.92664999999988)-0.64600000000000002)^2-0.72699999999999998*((448/TK)-0.90200000000000002)^2))*(2-2*1.274*(rr/616.92664999999988)*((rr/616.92664999999988)-0.64600000000000002)))"
    },
    "note": "Literal-source extract. Matrix-loop variables and the weak surface expression are expanded separately for B. Native complete configuration remains the authoritative full settings record."
  }
}