func (Supercoiling) SuperhelicalDensityG16(Lk float64, N int) float64 · FreeEnergy returns ΔG_sc

Read the equation

This relation defines FreeEnergy returns ΔG_sc in the source section “func (Supercoiling) SuperhelicalDensityG16(Lk float64, N int) float64 · FreeEnergy returns ΔG_sc”. It specifies the displayed relationship between the named quantities or parameters. 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 FreeEnergy returns ΔG_sc as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

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

// SuperhelicalDensityG16 returns G¹⁶ superhelical density
func (Supercoiling) SuperhelicalDensityG16(Lk float64, N int) float64 {
	Lk0G16 := NumStrands * float64(N) / BasePairsPerTurn
	return (Lk - Lk0G16) / Lk0G16
}

// FreeEnergy returns ΔG_sc = K · N · σ² · (10.6/10.4)²
func (Supercoiling) FreeEnergy(K float64, N int, sigma float64) float64 {
	correction := (BasePairsPerTurn / 10.4) * (BasePairsPerTurn / 10.4)
	return K * float64(N) * sigma * sigma * correction
}

// FreeEnergyG16 returns G¹⁶ with 44-bond correction
func (Supercoiling) FreeEnergyG16(K float64, N int, sigmaG16, lambda float64) float64 {
	correction := (BasePairsPerTurn / 10.4) * (BasePairsPerTurn / 10.4)
	return K * float64(N) * sigmaG16 * sigmaG16 * (1.0 + lambda*TotalBonds) * correction
}

FreeEnergy returns ΔG_sc = K · N · σ² · (10.6/10.4)²

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