Scientific Constants Calculator

A copy-ready table of the constants chemistry numericals use: Avogadro, both values of R, Planck, the speed of light, the elementary charge, Boltzmann, Faraday, electron and proton mass, standard pressure, molar volume, Rydberg and ε₀. Tap a value to copy it.

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The formula

R = NA × kB = 8.314 462 618… J K⁻¹ mol⁻¹
F = NA × e = 96 485.332 12… C mol⁻¹

From the article Scientific Constants — Which to Memorise and Why.

Worked example

Derive it.
hc = (6.626 070 15 × 10⁻³⁴) × (2.997 924 58 × 10⁸) = 1.986 446 × 10⁻²⁵ J m
Convert to eV: ÷ (1.602 176 634 × 10⁻¹⁹) = 1.239 842 × 10⁻⁶ eV m
Convert metres to nanometres: × 10⁹ = 1239.84 eV nm ≈ 1240 eV nm

Use it. Energy of a 500 nm photon:
E = 1240 ÷ 500 = 2.48 eV

Cross-check the long way.
E = hc/λ = (1.986 446 × 10⁻²⁵) ÷ (500 × 10⁻⁹) = 3.9729 × 10⁻¹⁹ J
÷ (1.602 177 × 10⁻¹⁹) = 2.48 eV ✓

Worked in full in Scientific Constants — Which to Memorise and Why.

Learn the method

About this tool

This is one of the tools in the Chemistry Calculator Suite, a free calculator built for IIT-JAM, CSIR-NET, GATE and CUET (Chemical Science) preparation. Nothing is behind a login and no result is stored on a server — the arithmetic runs in your own browser.

The Scientific Constants calculator above is the live tool — type your values and press its button; the answer appears in the same box. The link under it opens the full suite with this tool already selected, next to the others.

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