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1 | Consider the ground state and $n = 2$ states of hydrogen atom. Indicate in the diagram (Fig. 1.14) the complete spectroscopic notation for all four states. There are four corrections to the indicated level structure that must be considered to explain the various observed splitting of the levels. These corrections are... | [] | iVBORw0KGgoAAAANSUhEUgAAAoUAAAE9CAYAAAB9WBhRAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAEKfSURBVHhe7d0JdBzVne/xv2TLliXZkld5341tsA2GQNgCDAlDhkwIhJlsQyCBbENWCCcLMCHbJJkJM0nOJCfvTTJMJgnZgECGfXkECDvGYIzBxth4X2VbsizJ1tavf9ddTqN0lfpKVd1t6/s5py33rep7/7V01b9uLV2WSjMAAAAMaOWZvwAAABjASAoBAABAUggAAACSQgAA... | \text{Hyperfine structure}; \text{Lamb shift, Hyperfine structure}; \text{Fine structure, Lamb shift, Hyperfine structure}; E_m, E_D, E_{so} > \text{Lamb shift} \gtrsim \text{Hyperfine structure}; \text{Hyperfine structure arises from:}; \text{(a) Interaction between the nuclear magnetic moment and the magnetic field a... |
2 | (a) The ground state of the hydrogen atom is split by the hyperfine interaction. Indicate the level diagram and show from first principles which state lies higher in energy. (b) The ground state of the hydrogen molecule is split into total nuclear spin triplet and singlet states. Show from first principles which state... | [] | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGQAZADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | \text{triplet } F = 1 \text{ is an excited state and singlet } F = 0 \text{ is the ground state}; \text{The spin triplet state lies higher in energy than the singlet state} |
3 | Lyman alpha, the $n = 1$ to $n = 2$ transition in atomic hydrogen, is at 1215 脜. (a) Define the wavelength region capable of photoionizing a H atom in the ground level ($n = 1$). (b) Define the wavelength region capable of photoionizing a H atom in the first excited level ($n = 2$). (c) Define the wavelength region ... | [] | /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGQAZADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIh... | 911 \, \text{脜}; 3645 \, \text{脜}; 228 \, \text{脜}; 1215 \, \text{脜} |
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