Bohr radius to Picometers Converter

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How to use this Bohr radius to Picometers Converter πŸ€”

Follow these steps to convert given length from the units of Bohr radius to the units of Picometers.

Bohr radius to Picometers Converter | b to pm
  1. Enter the input Bohr radius value in the text field.
  2. The calculator converts the given Bohr radius into Picometers in realtime ⌚ using the conversion formula, and displays under the Picometers label. You do not need to click any button. If the input changes, Picometers value is re-calculated, just like that.
  3. You may copy the resulting Picometers value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Bohr radius to Picometers?

The formula to convert given length from Bohr radius to Picometers is:

Length(Picometers) = Length(Bohr radius) / 0.018897259886

Substitute the given value of length in bohr radius, i.e., Length(Bohr radius) in the above formula and simplify the right-hand side value. The resulting value is the length in picometers, i.e., Length(Picometers).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.
Convert this distance from Bohr radii to Picometers.

Answer:

Given:

The length in bohr radius is:

Length(Bohr radius) = 2

Formula:

The formula to convert length from bohr radius to picometers is:

Length(Picometers) = Length(Bohr radius) / 0.018897259886

Substitution:

Substitute given weight Length(Bohr radius) = 2 in the above formula.

Length(Picometers) = 2 / 0.018897259886

Length(Picometers) = 105.8354

Final Answer:

Therefore, 2 b is equal to 105.8354 pm.

The length is 105.8354 pm, in picometers.

2

Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.
Convert this distance from Bohr radii to Picometers.

Answer:

Given:

The length in bohr radius is:

Length(Bohr radius) = 3.5

Formula:

The formula to convert length from bohr radius to picometers is:

Length(Picometers) = Length(Bohr radius) / 0.018897259886

Substitution:

Substitute given weight Length(Bohr radius) = 3.5 in the above formula.

Length(Picometers) = 3.5 / 0.018897259886

Length(Picometers) = 185.212

Final Answer:

Therefore, 3.5 b is equal to 185.212 pm.

The length is 185.212 pm, in picometers.

Bohr radius to Picometers Conversion Table

The following table gives some of the most used conversions from Bohr radius to Picometers.

Bohr radius (b)Picometers (pm)
0 b0 pm
1 b52.9177 pm
2 b105.8354 pm
3 b158.7532 pm
4 b211.6709 pm
5 b264.5886 pm
6 b317.5063 pm
7 b370.4241 pm
8 b423.3418 pm
9 b476.2595 pm
10 b529.1772 pm
20 b1058.3545 pm
50 b2645.8862 pm
100 b5291.7725 pm
1000 b52917.7249 pm
10000 b529177.249 pm
100000 b5291772.4899 pm

Bohr radius

The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 Γ— 10^(-11) meters or about 0.529 angstroms.

The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.

The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels.

Picometers

A picometer (pm) is a unit of length in the International System of Units (SI). One picometer is equivalent to 0.000000000001 meters or 1 Γ— 10^(-12) meters.

The picometer is defined as one trillionth of a meter, making it a very small unit of measurement used for measuring atomic and molecular distances.

Picometers are used in fields such as chemistry, materials science, and nanotechnology to describe the sizes of atoms, molecules, and other microscopic structures.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Bohr radius to Picometers in Length?

2. Is this tool free or paid?

3. How do I convert Length from Bohr radius to Picometers?