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How To Find Ionization Energy Of Hydrogen
On the method of finding the ionization energy of hydrogen
If you want to find the ionization energy of hydrogen, you must understand the reason and follow the method. Hydrogen is the basis of the atom, and the search for its ionization energy is related to the principle of quantum, and also involves the calculation of mathematics.
Covers the hydrogen atom, the electron travels around the nucleus, and its energy state is fixed. Ionizer, the beam that makes the electron denucleate, escapes from the infinite environment. If you want to do this, you must give electrons energy, and this energy is ionization energy.
Quantum theory says that the energy state of the hydrogen atom can be first glimpsed by the Bohr model. Bohr thought that the electron orbits around the nucleus in a specific orbit, and the energy of the orbit is $E_n = -\ frac {13.6} {n ^ {2}} eV $, $n $, and the principal quantum number is also a positive integer. When $n = 1 $, it is the ground state and the energy is the lowest. To ionize a hydrogen atom, let the electron jump from the ground state $n = 1 $to $n =\ infty $.
Find the ionization energy $I.E. $from the change of energy, then $I.E. = E_ {\ infty} - E_1 $. When $n =\ infty $, $E_ {\ infty} = 0 $; when $n = 1 $, $E_1 = -13.6eV $. Therefore, the ionization energy of hydrogen is $I.E. = 0 - (-13.6eV) = 13.6eV $.
This is the method based on the Bohr model. However, the development of quantum mechanics has led to a more refined method. For example, the Schrödinger equation describes the state of electrons as a wave function, from which the energy of the hydrogen atom can be calculated, and the ionization energy can also be obtained. Although the theory is deep, in the case of solving the Schrödinger equation for the hydrogen atom, the obtained result echoes the ground state energy of the Bohr model, and the ionization energy is also about $13.6eV $.
In short, the ionization energy of hydrogen, the principle of atomic structure and energy state, and the Bohr model or quantum mechanics method can all achieve the purpose of obtaining its value. This is one way to explore the mysteries of the microscopic world.
If you want to find the ionization energy of hydrogen, you must understand the reason and follow the method. Hydrogen is the basis of the atom, and the search for its ionization energy is related to the principle of quantum, and also involves the calculation of mathematics.
Covers the hydrogen atom, the electron travels around the nucleus, and its energy state is fixed. Ionizer, the beam that makes the electron denucleate, escapes from the infinite environment. If you want to do this, you must give electrons energy, and this energy is ionization energy.
Quantum theory says that the energy state of the hydrogen atom can be first glimpsed by the Bohr model. Bohr thought that the electron orbits around the nucleus in a specific orbit, and the energy of the orbit is $E_n = -\ frac {13.6} {n ^ {2}} eV $, $n $, and the principal quantum number is also a positive integer. When $n = 1 $, it is the ground state and the energy is the lowest. To ionize a hydrogen atom, let the electron jump from the ground state $n = 1 $to $n =\ infty $.
Find the ionization energy $I.E. $from the change of energy, then $I.E. = E_ {\ infty} - E_1 $. When $n =\ infty $, $E_ {\ infty} = 0 $; when $n = 1 $, $E_1 = -13.6eV $. Therefore, the ionization energy of hydrogen is $I.E. = 0 - (-13.6eV) = 13.6eV $.
This is the method based on the Bohr model. However, the development of quantum mechanics has led to a more refined method. For example, the Schrödinger equation describes the state of electrons as a wave function, from which the energy of the hydrogen atom can be calculated, and the ionization energy can also be obtained. Although the theory is deep, in the case of solving the Schrödinger equation for the hydrogen atom, the obtained result echoes the ground state energy of the Bohr model, and the ionization energy is also about $13.6eV $.
In short, the ionization energy of hydrogen, the principle of atomic structure and energy state, and the Bohr model or quantum mechanics method can all achieve the purpose of obtaining its value. This is one way to explore the mysteries of the microscopic world.
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