Estimate a reaction rate constant at any temperature from k = A·exp(−Ea / (R·T)).
输入指前因子 A、活化能 Ea 与温度，求速率常数 k。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Arrhenius equation | k = A · e^( -E_a / (R · T) ), where E_a is the activation energy | Arrhenius S. (1889), Uber die Reaktionsgeschwindigkeit bei der Inversion von Rohrzucker |
| Two-temperature form | ln( k2/k1 ) = - ( E_a / R ) · ( 1/T2 - 1/T1 ) | Arrhenius equation; Atkins PW, de Paula J, Physical Chemistry |
| Temperature sensitivity | The rate constant grows exponentially as temperature rises | Atkins PW, de Paula J, Physical Chemistry, Oxford Univ. Press |
| Pre-exponential factor | A relates to collision frequency and orientation, treated as approximately constant | Atkins PW, de Paula J, Physical Chemistry |
Constants used on this page and their authoritative sources, for verification and citation
| Constant | Value | Unit | Source |
|---|---|---|---|
| Molar gas constant R | 8.314462618 | J·mol⁻¹·K⁻¹ | New SI (derived from exact N_A·k; this page uses 8.314) |
| Boltzmann constant k | 1.380649e-23 | J·K⁻¹ | SI defining constant (exact) |
| Avogadro constant N_A | 6.02214076e23 | mol⁻¹ | SI defining constant (exact) |
| Celsius scale zero point T_0 | 273.15 | K | SI / ITS-90 defining value (exact) |
Note: the Arrhenius form k = A·exp(−E_a/RT) is empirical; the pre-exponential factor A and activation energy E_a must be fitted to experiment and are only approximately constant over a narrow temperature range.