Version: dev

rate_OHCO

GEOS-Chem gas-phase reaction rate laws — the 37 rate-coefficient builder functions of GasChem.jl src/geoschem_ratelaws.jl, adapted from the GEOS-Chem KPP/fullchem mechanism (github.com/geoschem/geos-chem, commit 4722f288). Each builder computes a single reaction rate coefficient k from temperature and air number density: constant rates (constant_k, constant_k_1), modified-Arrhenius forms in ppb and SI molecular units (arrhenius_ppb, arrhenius_ppb_3, arrhenius_mlc_SI, arrhenius_mlc_1, arrplus_*, tunplus_*), Troe / third-body pressure-dependent falloff rates (arr_3rdbody, arr_3rdbody_1, rate_OHCO, rate_PAN_abab, rate_PAN_acac, eq_const, eq_const_1), and a family of mechanism-specific rates for HO2, RO2+NO, isoprene, glycolaldehyde, DMS and HNO3 chemistry. Each rate law is migrated as an independent purely-algebraic model: the inputs (T, num_density, Arrhenius coefficients) are parameters, the rate coefficient k is the single state variable defined by one algebraic equation, and an inline test reproduces the rate constant asserted by the corresponding @testitem in GasChem.jl test/geoschem_ratelaws_test.jl (compiled at T=293 K, num_density = 2.7e19 molec/cm^3). The GEOS-Chem license applies (github.com/geoschem/geos-chem/blob/main/LICENSE.txt).

Domain
gaschem
Type
model
.esm schema
1.0.0
Source
components/gaschem/geoschem_ratelaws.esm
Tags
#gaschem #model #geoschem #rate-laws #reaction-kinetics #arrhenius #troposphere-chemistry #observed-only

Description

GEOS-Chem gas-phase reaction rate laws — the 37 rate-coefficient builder functions of GasChem.jl src/geoschem_ratelaws.jl, adapted from the GEOS-Chem KPP/fullchem mechanism (github.com/geoschem/geos-chem, commit 4722f288). Each builder computes a single reaction rate coefficient k from temperature and air number density: constant rates (constant_k, constant_k_1), modified-Arrhenius forms in ppb and SI molecular units (arrhenius_ppb, arrhenius_ppb_3, arrhenius_mlc_SI, arrhenius_mlc_1, arrplus_, tunplus_), Troe / third-body pressure-dependent falloff rates (arr_3rdbody, arr_3rdbody_1, rate_OHCO, rate_PAN_abab, rate_PAN_acac, eq_const, eq_const_1), and a family of mechanism-specific rates for HO2, RO2+NO, isoprene, glycolaldehyde, DMS and HNO3 chemistry. Each rate law is migrated as an independent purely-algebraic model: the inputs (T, num_density, Arrhenius coefficients) are parameters, the rate coefficient k is the single state variable defined by one algebraic equation, and an inline test reproduces the rate constant asserted by the corresponding @testitem in GasChem.jl test/geoschem_ratelaws_test.jl (compiled at T=293 K, num_density = 2.7e19 molec/cm^3). The GEOS-Chem license applies (github.com/geoschem/geos-chem/blob/main/LICENSE.txt).

Reference

_source_ref: GasChem.jl@8c12c048482b515fb8eb2110bf8ab4b4f4e71309:src/geoschem_ratelaws.jl:298 (rate_OHCO rate-law builder function).

Rate law for OH + CO -> HO2 + CO2 (JPL 15-10). Two parallel pressure-dependent (Troe-falloff) channels, kco1 and kco2, summed and converted to ppb^-1 s^-1. Takes no fitted parameters — all Arrhenius coefficients are the fixed JPL recommendation.

Migration shape: the upstream rate_OHCO returns a Catalyst ReactionSystem carrying zero reactions and one variable k(t) bound by a single algebraic equation k ~ (the @constants in the source are MTK unit-bookkeeping; their numeric values N_A=6.02214076e23, cm3_m3=1.0e6, ppb_unit=1.0e-9, k_unit_inv=1.0e6 are folded into the .esm expression AST as literals). It is migrated here as a purely-algebraic model: the rate-law inputs (T, num_density, Arrhenius coefficients) are type: parameter, the output k is the single type: state variable, and equations holds the one defining equation. No equation carries a D(.) operator, so the trajectory is constant in time and the inline test samples at t=0 (the observed-only convention of sibling files multiple_removal.esm / ope.esm).

Units: variables carry no units field — the rate expression folds the upstream MTK unit conversions into numeric literals, so every quantity is nominally dimensionless to the structural validator. This is the convention of the sibling GEOS-Chem file geoschem_fullchem.esm; physical units are documented in prose in each variable’s description.

Tolerance rationale (model-level rel=1e-8 / abs=1e-30): the rate law is a single closed-form algebraic expression evaluated once (no time integration, no stiff dynamics). rel=1e-8 sits at the upstream Julia approximate-equality default (approx uses rtol=sqrt(eps(Float64))=~1.49e-8) and comfortably absorbs the libm exp / ^ / log10 rounding differences between the Julia reference values and the Python ESS runner; abs=1e-30 is a near-zero floor that gates no assertion here (the smallest pinned rate constant across the file is eq_const k=~2.1e-27).

Upstream test reproduction: the inline test upstream_rate_OHCO pins k at the parameter defaults to the value asserted by the @testitem "rate_OHCO" block in GasChem.jl test/geoschem_ratelaws_test.jl, which compiles the rate law at T=293.0 K and num_density=2.7e19/N_A*cm3_m3 mol/m^3 and checks the resulting rate constant k._

Parameters

NameUnitsDefaultDescription
T293.0Air temperature (K). Default 293.0 K is the scenario temperature of the upstream geoschem_ratelaws_test.jl RateLawSetup test snippet.
num_density44.834554813693856Number density of air (mol/m^3). Default 44.834554813693856 mol/m^3 equals 2.7e19 molec/cm^3 — the upstream test value 2.7e19/N_A*cm3_m3 (N_A = 6.02214076e23, cm3_m3 = 1.0e6).

Observed

NameUnitsDefaultDescription
kReaction rate coefficient produced by the rate_OHCO rate law, output in ppb^-1*s^-1. Defined by one algebraic equation; the system carries no time derivative.

Observed expressions

$$ k = \frac{5.9 \times 10^{-33} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{1.0} \cdot 1 \times 10^{-6} \cdot 1000000.0 \cdot num_{density} \cdot 6.02214076 \times 10^{17} \cdot 0.6^{\frac{1.0}{1.0 + \log_{10}\left(\frac{5.9 \times 10^{-33} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{1.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{1.1 \times 10^{-12} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-1.3} \cdot 1 \times 10^{-6}}\right) \cdot \log_{10}\left(\frac{5.9 \times 10^{-33} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{1.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{1.1 \times 10^{-12} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-1.3} \cdot 1 \times 10^{-6}}\right)}}}{1.0 + \frac{5.9 \times 10^{-33} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{1.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{1.1 \times 10^{-12} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-1.3} \cdot 1 \times 10^{-6}}} \cdot num_{density} \cdot 1 \times 10^{-9} \cdot 6.02214076 \times 10^{17} + \frac{1.5 \times 10^{-13} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{0.0} \cdot 1 \times 10^{-6} \cdot 1000000.0 \cdot 0.6^{\frac{1.0}{1.0 + \log_{10}\left(\frac{1.5 \times 10^{-13} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{0.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{2100000000.0 \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-6.1} \cdot 1 \times 10^{-6}}\right) \cdot \log_{10}\left(\frac{1.5 \times 10^{-13} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{0.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{2100000000.0 \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-6.1} \cdot 1 \times 10^{-6}}\right)}}}{1.0 + \frac{1.5 \times 10^{-13} \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{0.0} \cdot 1 \times 10^{-6} \cdot num_{density} \cdot 6.02214076 \times 10^{17}}{2100000000.0 \cdot e^{\frac{0.0}{T}} \cdot \frac{300.0}{T}^{-6.1} \cdot 1 \times 10^{-6}}} \cdot num_{density} \cdot 1 \times 10^{-9} \cdot 6.02214076 \times 10^{17} $$

Reaction rate coefficient produced by the rate_OHCO rate law, output in ppb^-1*s^-1. Defined by one algebraic equation; the system carries no time derivative.

Raw .esm

Raw .esm JSON (this component)
{
  "reference": {
    "notes": "source_ref: GasChem.jl@8c12c048482b515fb8eb2110bf8ab4b4f4e71309:src/geoschem_ratelaws.jl:298 (`rate_OHCO` rate-law builder function).\n\nRate law for OH + CO -> HO2 + CO2 (JPL 15-10). Two parallel pressure-dependent (Troe-falloff) channels, kco1 and kco2, summed and converted to ppb^-1 s^-1. Takes no fitted parameters — all Arrhenius coefficients are the fixed JPL recommendation.\n\nMigration shape: the upstream `rate_OHCO` returns a Catalyst `ReactionSystem` carrying zero reactions and one variable k(t) bound by a single algebraic equation k ~ <rate expression> (the @constants in the source are MTK unit-bookkeeping; their numeric values N_A=6.02214076e23, cm3_m3=1.0e6, ppb_unit=1.0e-9, k_unit_inv=1.0e6 are folded into the .esm expression AST as literals). It is migrated here as a purely-algebraic `model`: the rate-law inputs (T, num_density, Arrhenius coefficients) are `type: parameter`, the output k is the single `type: state` variable, and `equations` holds the one defining equation. No equation carries a D(.) operator, so the trajectory is constant in time and the inline test samples at t=0 (the observed-only convention of sibling files multiple_removal.esm / ope.esm).\n\nUnits: variables carry no `units` field — the rate expression folds the upstream MTK unit conversions into numeric literals, so every quantity is nominally dimensionless to the structural validator. This is the convention of the sibling GEOS-Chem file geoschem_fullchem.esm; physical units are documented in prose in each variable's `description`.\n\nTolerance rationale (model-level rel=1e-8 / abs=1e-30): the rate law is a single closed-form algebraic expression evaluated once (no time integration, no stiff dynamics). rel=1e-8 sits at the upstream Julia approximate-equality default (`approx` uses rtol=sqrt(eps(Float64))=~1.49e-8) and comfortably absorbs the libm exp / ^ / log10 rounding differences between the Julia reference values and the Python ESS runner; abs=1e-30 is a near-zero floor that gates no assertion here (the smallest pinned rate constant across the file is eq_const k=~2.1e-27).\n\nUpstream test reproduction: the inline test `upstream_rate_OHCO` pins k at the parameter defaults to the value asserted by the `@testitem \"rate_OHCO\"` block in GasChem.jl test/geoschem_ratelaws_test.jl, which compiles the rate law at T=293.0 K and num_density=2.7e19/N_A*cm3_m3 mol/m^3 and checks the resulting rate constant k."
  },
  "tolerance": {
    "rel": 1e-08,
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  },
  "variables": {
    "T": {
      "type": "parameter",
      "default": 293.0,
      "description": "Air temperature (K). Default 293.0 K is the scenario temperature of the upstream geoschem_ratelaws_test.jl `RateLawSetup` test snippet."
    },
    "num_density": {
      "type": "parameter",
      "default": 44.834554813693856,
      "description": "Number density of air (mol/m^3). Default 44.834554813693856 mol/m^3 equals 2.7e19 molec/cm^3 — the upstream test value 2.7e19/N_A*cm3_m3 (N_A = 6.02214076e23, cm3_m3 = 1.0e6)."
    },
    "k": {
      "type": "unknown",
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                  },
                  {
                    "op": "+",
                    "args": [
                      1.0,
                      {
                        "op": "/",
                        "args": [
                          {
                            "op": "*",
                            "args": [
                              {
                                "op": "*",
                                "args": [
                                  1.5e-13,
                                  {
                                    "op": "*",
                                    "args": [
                                      {
                                        "op": "exp",
                                        "args": [
                                          {
                                            "op": "/",
                                            "args": [
                                              0.0,
                                              "T"
                                            ]
                                          }
                                        ]
                                      },
                                      {
                                        "op": "^",
                                        "args": [
                                          {
                                            "op": "/",
                                            "args": [
                                              300.0,
                                              "T"
                                            ]
                                          },
                                          0.0
                                        ]
                                      }
                                    ]
                                  },
                                  1e-06
                                ]
                              },
                              "num_density",
                              6.02214076e+17
                            ]
                          },
                          {
                            "op": "*",
                            "args": [
                              2100000000.0,
                              {
                                "op": "*",
                                "args": [
                                  {
                                    "op": "exp",
                                    "args": [
                                      {
                                        "op": "/",
                                        "args": [
                                          0.0,
                                          "T"
                                        ]
                                      }
                                    ]
                                  },
                                  {
                                    "op": "^",
                                    "args": [
                                      {
                                        "op": "/",
                                        "args": [
                                          300.0,
                                          "T"
                                        ]
                                      },
                                      -6.1
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                                  }
                                ]
                              },
                              1e-06
                            ]
                          }
                        ]
                      }
                    ]
                  }
                ]
              },
              {
                "op": "*",
                "args": [
                  "num_density",
                  1e-09,
                  6.02214076e+17
                ]
              }
            ]
          }
        ]
      }
    }
  ],
  "tests": [
    {
      "id": "upstream_rate_OHCO",
      "description": "Reproduces the upstream `rate_OHCO` rate-law test (GasChem.jl test/geoschem_ratelaws_test.jl). All parameters are at their declared defaults — the exact coefficient values the upstream @testitem passes to `rate_OHCO` — and the rate coefficient k is pinned to the upstream expected value 0.006602767113875056.",
      "parameter_overrides": {},
      "time_span": {
        "start": 0.0,
        "end": 1.0
      },
      "assertions": [
        {
          "variable": "k",
          "time": 0.0,
          "expected": 0.006602767113875056
        }
      ]
    }
  ]
}