0.70x
1.0x
Lyman Series
Ultraviolet
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1/λ = R_H (1/1² - 1/n₂²)
ΔE = 13.6 eV × (1/1² - 1/n₂²)
n₁ = 1, n₂ ∈ [2, ∞]
Energy (ΔE):
10.20 eV
Energy (Joules):
1.63e-18 J
ΔE = hc/λ:
1.63e-18 J
Wavelength (λ):
121.5 nm
Frequency (f):
2.47e15 Hz
Energy Level Scheme (Decreasing Spacing ΔE ∝ 1/n²)
Balmer Series
Visible
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1/λ = R_H (1/2² - 1/n₂²)
ΔE = 13.6 eV × (1/2² - 1/n₂²)
n₁ = 2, n₂ ∈ [3, ∞]
Energy (ΔE):
1.89 eV
Energy (Joules):
3.03e-19 J
ΔE = hc/λ:
3.03e-19 J
Wavelength (λ):
656.3 nm
Frequency (f):
4.57e14 Hz
Energy Level Scheme (Decreasing Spacing ΔE ∝ 1/n²)
Paschen Series
Infrared
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1/λ = R_H (1/3² - 1/n₂²)
ΔE = 13.6 eV × (1/3² - 1/n₂²)
n₁ = 3, n₂ ∈ [4, ∞]
Energy (ΔE):
0.66 eV
Energy (Joules):
1.06e-19 J
ΔE = hc/λ:
1.06e-19 J
Wavelength (λ):
1875.1 nm
Frequency (f):
1.60e14 Hz
Energy Level Scheme (Decreasing Spacing ΔE ∝ 1/n²)
Spatial Wavelength Waveform Comparison (Ψ(x) vs Distance x in nm)
Same Fixed Scale: 0 to 2000 nm
Lyman Series
λ = 121.5 nm
Balmer Series
λ = 656.3 nm
Paschen Series
λ = 1875.1 nm