Level

G_s formula

G_s value (m³·kg⁻¹·s⁻²)

$G=G_s{\alpha }^{21}$ value (m³·kg⁻¹·s⁻²)

(1)

$\frac{\hslash c}{m_e^2}$

3.80994 × 10³⁴

5.09789 × 10⁻¹¹

(2)

$\frac{4}{3}\frac{\hslash c}{m_e^2}$

5.07992 × 10³⁴

6.79769 × 10⁻¹¹

(3)

$\frac{4}{3\sqrt[38]{2}}\frac{\hslash c}{m_e^2}$

4.98811 × 10³⁴

6.67433 × 10⁻¹¹

(4)

$\frac{4}{3\sqrt[38]{2}\sqrt[160000]{2}}\frac{\hslash c}{m_e^2}$

4.98809 × 10³⁴

6.67430 × 10⁻¹¹