氢光谱计算器 — 公式
## Hydrogen Spectral Lines (Rydberg Formula)
When an electron transitions between energy levels in hydrogen, it emits or absorbs a photon with a specific wavelength.
### Formula
**1/lambda = R_H * (1/n1^2 - 1/n2^2)**
- *R_H* = 1.0974 x 10^7 m^-1 (Rydberg constant)
- *n1* = lower energy level
- *n2* = upper energy level (n2 > n1)
Series: Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen (n1=3, IR).
When an electron transitions between energy levels in hydrogen, it emits or absorbs a photon with a specific wavelength.
### Formula
**1/lambda = R_H * (1/n1^2 - 1/n2^2)**
- *R_H* = 1.0974 x 10^7 m^-1 (Rydberg constant)
- *n1* = lower energy level
- *n2* = upper energy level (n2 > n1)
Series: Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen (n1=3, IR).
计算示例
H-alpha line: n1 = 2 to n2 = 3 (Balmer series).
- 1/lambda = R * (1/4 - 1/9)
- 1/4 - 1/9 = 5/36 = 0.1389
- 1/lambda = 1.0974e7 * 0.1389 = 1.524e6 m^-1
- lambda = 6.563e-7 m = 656.3 nm (red)