III. 44-BOND SYSTEM · 10.6-adjusted bond arc length: s_bond

Read the equation

This relation defines 10.6-adjusted bond arc length: s_bond in the source section “III. 44-BOND SYSTEM · 10.6-adjusted bond arc length: s_bond”. 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 10.6-adjusted bond arc length: s_bond 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

            return {k, (k % NUM_STRANDS) + 1};
        } else {
            // Cross-helix: (i, j) where |i-j| ∈ {4, 8, 12}
            return {bonds_[n-1].strand_i, bonds_[n-1].strand_j};
        }
    }

    // 10.6-adjusted bond arc length: s_bond = 2πr/10.6 = 0.593 nm per bp
    static double bond_arc_length() {
        return 2.0 * M_PI * HELIX_RADIUS / BASE_PAIRS_PER_TURN;
    }

    // Vertical rise per bond: Δz_bond = P/44 = 0.0819 nm
    static double vertical_rise_per_bond() {
        return PITCH / TOTAL_BONDS;
    }

    // Adjacent bond length: L_adj = √[2r²(1 - cos(2π/10.6)) + h²] = 0.54 nm

10.6-adjusted bond arc length: s_bond = 2πr/10.6 = 0.593 nm per bp

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