Question

(3) (10 pts) The ionization energy (IE) of an electron from an atom can be estimated according to Koopman's theorem which states that IE ? ā€“En, where En is the orbital energy from which the electron is removed. (a) Calculate the ground state ionization energy for He?, using the simplified energy expression for hydrogenic systems. (b) Without doing any calculations, predict how IE changes in the across the series H, He?, LiĀ²?, BeĀ³?, B??, C??, N??, O??, F?? and Ne??. Briefly explain reasoning behind your order. 

          (3) (10 pts) The ionization energy (IE) of an electron from an atom can be estimated according to Koopman's theorem which states that IE ? ā€“En, where En is the orbital energy from which the electron is removed.

(a) Calculate the ground state ionization energy for He?, using the simplified energy expression for hydrogenic systems.

(b) Without doing any calculations, predict how IE changes in the across the series H, He?, LiĀ²?, BeĀ³?, B??, C??, N??, O??, F?? and Ne??. Briefly explain reasoning behind your order.
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(3) (10 pts) The ionization energy (IE) of an electron from an atom can be estimated according to Koopman's theorem which states that IE ? ā€“En, where En is the orbital energy from which the electron is removed. (a) Calculate the ground state ionization energy for He?, using the simplified energy expression for hydrogenic systems. (b) Without doing any calculations, predict how IE changes in the across the series H, He?, LiĀ²?, BeĀ³?, B??, C??, N??, O??, F?? and Ne??. Briefly explain reasoning behind your order.

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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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The ionization energy (IE) of an electron from an atom can be estimated according to Koopman's theorem which states that IE ā‰ˆ ā€“En, where En is the orbital energy from which the electron is removed. (a) Calculate the ground state ionization energy for Heā±, using the simplified energy expression for hydrogenic systems. (b) Without doing any calculations, predict how IE changes in the across the series H, Heā±, LiĀ²ā±, BeĀ³ā±, Bā“ā±, Cāµā±, Nā¶ā±, Oā·ā±, Fāøā± and Neā¹ā±. Briefly explain reasoning behind your order.
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Transcript

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0:00 Hello everyone.
00:01 So the first part of the question asks us to find the ionization energy for helium -positive ion considering hydrogenic systems.
00:11 So the formula for ionization energy for hydrogenic systems is negative of 13 .6 multiplied by z squared divided by n square where z is the atomic number while n is the orbit number so for helium positive we have negative of 13 .6 the atomic number of helium is 2 so it will be 2 squared by the orbit number is 1 square so this gives us 54 .4 electron volts of ionization energy for the second part if we look at the formula we can clearly see that the ionization energy for the systems or ions is directly proportional to the atomic number the square of atomic number so as z increases that is the atomic number increases the ionization energy increases as well...
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