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Bohr radius to Kilometers Converter

Enter Bohr radius

b

Kilometers

km

ResetView CalculationCopy

⇅ Switch toKilometers to Bohr radius Converter

How to use this Bohr radius to Kilometers Converter 🤔

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

1. Enter the input Bohr radius value in the text field.
2. The calculator converts the given Bohr radius into Kilometers in realtime ⌚ using the conversion formula, and displays under the Kilometers label. You do not need to click any button. If the input changes, Kilometers value is re-calculated, just like that.
3. You may copy the resulting Kilometers 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 Kilometers?

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

Length_(Kilometers) = Length_{(Bohr radius)} / 18897259886000

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 kilometers, i.e., Length_(Kilometers).

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 Kilometers.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 2

Formula:

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

Length_(Kilometers) = Length_{(Bohr radius)} / 18897259886000

Substitution:

Substitute given weight Length_{(Bohr radius)} = 2 in the above formula.

Length_(Kilometers) = 2 / 18897259886000

Length_(Kilometers) = 1.058e-13

Final Answer:

Therefore, 2 b is equal to 1.058e-13 km.

The length is 1.058e-13 km, in kilometers.

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 Kilometers.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 3.5

Formula:

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

Length_(Kilometers) = Length_{(Bohr radius)} / 18897259886000

Substitution:

Substitute given weight Length_{(Bohr radius)} = 3.5 in the above formula.

Length_(Kilometers) = 3.5 / 18897259886000

Length_(Kilometers) = 1.852e-13

Final Answer:

Therefore, 3.5 b is equal to 1.852e-13 km.

The length is 1.852e-13 km, in kilometers.

Bohr radius to Kilometers Conversion Table

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

Bohr radius (b)	Kilometers (km)
0 b	0 km
1 b	0 km
2 b	0 km
3 b	0 km
4 b	0 km
5 b	0 km
6 b	0 km
7 b	0 km
8 b	0 km
9 b	0 km
10 b	0 km
20 b	0 km
50 b	0 km
100 b	1e-11 km
1000 b	5e-11 km
10000 b	5.3e-10 km
100000 b	5.29e-9 km

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 × 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.

Kilometers

A kilometer (km) is a unit of length in the International System of Units (SI), equal to 0.6214 miles. One kilometer is one thousand meters.

The prefix "kilo-" means one thousand. A kilometer is defined by 1000 times the distance light travels in 1/299,792,458 seconds. This definition may change, but a kilometer will always be one thousand meters.

Kilometers are used to measure distances on land in most countries. However, the United States and the United Kingdom still often use miles. The UK has adopted the metric system, but miles are still used on road signs.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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

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  "x_slug": "bohr_radius",
  "y_slug": "kilometers",
  "x": "b",
  "y": "km",
  "x_desc": "Bohr radius",
  "y_desc": "Kilometers",
  "category": "Length",
  "symbol": "m",
  "formula": "x / 18897259886000",
  "precision": 16,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.<br>Convert this distance from Bohr radii to Kilometers.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 2</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to kilometers is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Kilometers)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18897259886000</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 2</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Kilometers)</sub></span> = <span>2</span> / 18897259886000</p>\n        <p class=\"step\"><span>Length<sub>(Kilometers)</sub></span> = 1.058e-13</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 b</strong> is equal to <strong>1.058e-13 km</strong>.</p>\n        <p>The length  is <strong>1.058e-13 km</strong>, in kilometers.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.<br>Convert this distance from Bohr radii to Kilometers.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 3.5</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to kilometers is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Kilometers)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18897259886000</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 3.5</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Kilometers)</sub></span> = <span>3.5</span> / 18897259886000</p>\n        <p class=\"step\"><span>Length<sub>(Kilometers)</sub></span> = 1.852e-13</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>3.5 b</strong> is equal to <strong>1.852e-13 km</strong>.</p>\n        <p>The length  is <strong>1.852e-13 km</strong>, in kilometers.</p>\n        </div>\n      ",
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  "table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Kilometers</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Kilometers.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Kilometers (<span class=\"unit\">km</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">km</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>1e-11 <span class=\"unit\">km</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>5e-11 <span class=\"unit\">km</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>5<span>.3e-10</span> <span class=\"unit\">km</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>5<span>.29e-9</span> <span class=\"unit\">km</span></td></tr></table>",
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  "y_long_desc": "A kilometer (km) is a unit of length in the International System of Units (SI), equal to 0.6214 miles. One kilometer is one thousand meters. </p><p>The prefix \"kilo-\" means one thousand. A kilometer is defined by 1000 times the distance light travels in 1/299,792,458 seconds. This definition may change, but a kilometer will always be one thousand meters. </p><p>Kilometers are used to measure distances on land in most countries. However, the United States and the United Kingdom still often use miles. The UK has adopted the metric system, but miles are still used on road signs.",
  "x_long_desc": "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 × 10^(-11) meters or about 0.529 angstroms. </p><p>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.</p><p>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."
}