Interpretation:
The reason for the statement “The probability of finding two electrons with the same four quantum numbers in an atom is zero” is to be explained.
Concept introduction:
The principalquantum number
Theprincipal quantum number designates the orbital size.
The angular momentum quantum number tells the shape of the atomic orbital. The possible range of l is from
The magnetic quantum number tells the orientation of the atomic orbital in space. The possible range of
The electron spin quantum number tells the electron spin in an orbital in space. The possible spins are
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Chemistry
- 6.32 What are the mathematical origins of quantum numbers?arrow_forwardHow many electrons in an atom can have the following quantum designation? (a) 1s (b) 4d, m l =0(c) n=5,l=2arrow_forwardIn defining the sizes of orbitals, why must we use an arbitrary value, such as 90% of the probability of finding an electron in that region?arrow_forward
- Investigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation E=RHn3 where RH is the same as for hydrogen (2.179 1018 J). Answer the following questions, without calculating energy values. a How would the ground-state energy levels of X and H compare? b Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer. c How do the spacings of the energy levels of X and H compare? d Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom? e Which atom, X or H, would require more energy to completely remove its electron? f A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 12 to n = 5) in an atom of X? Explain.arrow_forward• identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward
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