Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 16, 2023

The Free Hydrogen Energy Level Calculator uses the atomic number and energy details to calculate the energy level of hydrogen or any similar atoms or ions. To check the outcome as soon as possible, enter your inputs in our calculator and push the calculate button.

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Energy level(n):
Atomic number(Z):

Hydrogen Energy Levels

An electron and a proton make form a hydrogen atom. The proton has a positive charge and the electron has a negative charge. This means they're drawn to each other because of the Coulomb force. The electron has a mass thousand times smaller than the proton. As a result, the electron can be seen orbiting the proton.

The attractive Coulomb force and the centrifugal force of circular motion are balanced in the electron, giving it energy. Quantum physics predicts that the electron's energy can only take particular values in such a setting. The lowest energy level is where the electron is as close to the proton as the Heisenberg uncertainty principle permits.

The electron is further away from the proton the higher the energy level. The electron and proton's energy level also indicates how strongly they are bonded. The binding is tighter when the energy is lower.

Hydrogen Energy Levels Formula

The electron's energy in a hydrogen atom is equal to E = -mc² alpha² Z²/(2n²), n = √[-mc² alpha² Z²/(2E)]

  • Where, E = energy of the atom
  • n = energy level of the atom
  • m = mass of the electron
  • c = speed of the light
  • alpha = 1/137 is the structure constant
  • Z = atomic number

How to Calculate Hydrogen Energy Levels?

Follow the basic steps for determining the energy levels of hydrogen atoms.

  • Step 1: Calculate the energy of a hydrogen atom and its atomic number.
  • Step 2: In the formula, substitute these two values, light speed and alpha value.
  • Step 3: To find an atom's energy levels, multiply and divide the values.

How many Energy Levels Hydrogen has?

There are an endless amount of energy levels in the universe. If you play about with the hydrogen energy levels calculator, you'll see that as n grows larger, the energy differential between surrounding levels shrinks. This indicates that the high energy levels are getting increasingly difficult to identify. Due to quantum physics, their distinct nature fades away. The last, unlimited energy level has energy equal to zero. Beyond that energy, the electron and proton are no longer bonded together and are two separate particles.


How to Calculate Hydrogen Ionization Energy?

Ionisation energy is the amount of energy required to remove one electron from an atom. To put it another way, it's the energy required to break free from the binding energy. The energy difference between the energy when the electron is free and the energy level of the electron is then the least energy required to separate the electron from the proton. This energy is exactly equal to 13,6 eV if the electron is on the first level.

FAQs on Hydrogen Energy Levels

1. What are some interesting hydrogen facts?

Hydrogen is the first element in the periodic table and the most abundant element in the cosmos, accounting for 75% of the universe's mass. It's a tasteless, odourless, and colourless gas. It's found in a variety of manufactured goods.

2. What is hydrogen energy?

Hydrogen energy employs hydrogen or hydrogen-containing chemicals to produce energy that can be distributed to all practical purposes with greater efficiency and social benefits.

3. What is the lowest energy level of a hydrogen atom?

In a hydrogen atom, the electron normally moves in the n = 1 orbit, which has the lowest energy. The atom is said to be in its ground electronic state when the electron is in this lowest energy orbit (or simply ground state).

4. How do you calculate the hydrogen ionisation energy?

The energy required to separate electrons from an atom is known as ionisation energy. The difference between the energy when the electron is free and the electron energy level is the minimal energy required to detach the electron from the proton.

5. How much energy does a hydrogen atom have?

In its ground state, the energy of a hydrogen atom is - 13.6 eV.