XII. KINETIC RATE EQUATIONS · E_a^f(n)

Read the equation

This relation defines E_a^f(n) in the source section “XII. KINETIC RATE EQUATIONS · E_a^f(n)”. Evaluates oscillatory sine or cosine terms using the stated phase or frequency. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read E_a^f(n) as the quantity being defined or updated by this relation.

2. Evaluates oscillatory sine or cosine terms using the stated phase or frequency.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

    double delta_ = 0.01; // Cross-helix secondary

    double temperature_ = 300.0;
    static constexpr double kB = 0.001987;  // kcal/(mol·K)

public:
    // Formation activation energy (Section 12.2):
    // E_a^f(n) = E_0^f + ΔE_f·sin²(πn/44) + E_10.6·cos(2πn/10.6)
    double activation_energy_formation(int n) const {
        double sin_term = std::sin(M_PI * n / TOTAL_BONDS);
        double cos_term = std::cos(2.0 * M_PI * n / BASE_PAIRS_PER_TURN);
        return E0_f_ + dE_f_ * sin_term * sin_term + E_10_6_ * cos_term;
    }

    // Breaking activation energy (Section 12.3):
    // E_a^b(n) = E_0^b - ΔE_b·sin²(πn/44) - E_10.6·cos(2πn/10.6)
    double activation_energy_breaking(int n) const {
        double sin_term = std::sin(M_PI * n / TOTAL_BONDS);

E_a^f(n) = E_0^f + ΔE_f·sin²(πn/44) + E_10.6·cos(2πn/10.6)

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