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https://texercises.raemilab.ch/exercise/number-of-orbitals-1/
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Exercise:
How many different orbitals are there in the second excited state n  ?

Solution:
Since ell n the possible values for the azimuthal quantum number are ell . The number of orbitals per subshell is ell + i.e. and respectively. It follows for the total number of orbitals sscNorbitals + + The number of orbitals for the n-th energy level is sscNorbitals _ell^n- left ell + right left+ n- + right fracn frac+n- n +n- n n^ Since each orbital can hold a maximum of two electrons one with spin up one with spin down the total number of electrons for energy level n is n^ a fact well known from chemistry.
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Exercise:
How many different orbitals are there in the second excited state n  ?

Solution:
Since ell n the possible values for the azimuthal quantum number are ell . The number of orbitals per subshell is ell + i.e. and respectively. It follows for the total number of orbitals sscNorbitals + + The number of orbitals for the n-th energy level is sscNorbitals _ell^n- left ell + right left+ n- + right fracn frac+n- n +n- n n^ Since each orbital can hold a maximum of two electrons one with spin up one with spin down the total number of electrons for energy level n is n^ a fact well known from chemistry.
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quantum physics
Tags
atom, excited state, hydrogen, orbital
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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