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Bohr radius to Meters Converter

Enter Bohr radius

b

Meters

m

ResetView CalculationCopy

⇅ Switch toMeters to Bohr radius Converter

How to use this Bohr radius to Meters Converter 🤔

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

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

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

Length_(Meters) = Length_{(Bohr radius)} / 18897259886

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 meters, i.e., Length_(Meters).

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 Meters.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 2

Formula:

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

Length_(Meters) = Length_{(Bohr radius)} / 18897259886

Substitution:

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

Length_(Meters) = 2 / 18897259886

Length_(Meters) = 1.058354e-10

Final Answer:

Therefore, 2 b is equal to 1.058354e-10 m.

The length is 1.058354e-10 m, in meters.

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 Meters.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 3.5

Formula:

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

Length_(Meters) = Length_{(Bohr radius)} / 18897259886

Substitution:

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

Length_(Meters) = 3.5 / 18897259886

Length_(Meters) = 1.85212e-10

Final Answer:

Therefore, 3.5 b is equal to 1.85212e-10 m.

The length is 1.85212e-10 m, in meters.

Bohr radius to Meters Conversion Table

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

Bohr radius (b)	Meters (m)
0 b	0 m
1 b	5e-11 m
2 b	1.1e-10 m
3 b	1.6e-10 m
4 b	2.1e-10 m
5 b	2.6e-10 m
6 b	3.2e-10 m
7 b	3.7e-10 m
8 b	4.2e-10 m
9 b	4.8e-10 m
10 b	5.3e-10 m
20 b	1.06e-9 m
50 b	2.65e-9 m
100 b	5.29e-9 m
1000 b	5.292e-8 m
10000 b	5.2918e-7 m
100000 b	0.00000529177 m

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.

Meters

A meter (m) is a unit of length in the International System of Units (SI). One meter is equivalent to approximately 3.2808 feet.

The meter is defined by the distance light travels in a vacuum in 1/299,792,458 seconds.

Meters are used worldwide to measure length and distance in various fields, including science, engineering, and everyday life. Most countries have adopted the meter as the standard unit of measurement for length.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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

{
  "conversion": "bohr_radius-meters",
  "x_slug": "bohr_radius",
  "y_slug": "meters",
  "x": "b",
  "y": "m",
  "x_desc": "Bohr radius",
  "y_desc": "Meters",
  "category": "Length",
  "symbol": "m",
  "formula": "x / 18897259886",
  "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 Meters.</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 meters is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Meters)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18897259886</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>(Meters)</sub></span> = <span>2</span> / 18897259886</p>\n        <p class=\"step\"><span>Length<sub>(Meters)</sub></span> = 1.058354e-10</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 b</strong> is equal to <strong>1.058354e-10 m</strong>.</p>\n        <p>The length  is <strong>1.058354e-10 m</strong>, in meters.</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 Meters.</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 meters is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Meters)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18897259886</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>(Meters)</sub></span> = <span>3.5</span> / 18897259886</p>\n        <p class=\"step\"><span>Length<sub>(Meters)</sub></span> = 1.85212e-10</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>3.5 b</strong> is equal to <strong>1.85212e-10 m</strong>.</p>\n        <p>The length  is <strong>1.85212e-10 m</strong>, in meters.</p>\n        </div>\n      ",
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  "table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Meters</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Meters.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Meters (<span class=\"unit\">m</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">m</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>5e-11 <span class=\"unit\">m</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>1<span>.1e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>1<span>.6e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>2<span>.1e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>2<span>.6e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>3<span>.2e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>3<span>.7e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>4<span>.2e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>4<span>.8e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>5<span>.3e-10</span> <span class=\"unit\">m</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>1<span>.06e-9</span> <span class=\"unit\">m</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>2<span>.65e-9</span> <span class=\"unit\">m</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>5<span>.29e-9</span> <span class=\"unit\">m</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>5<span>.292e-8</span> <span class=\"unit\">m</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>5<span>.2918e-7</span> <span class=\"unit\">m</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>0<span>.00000529177</span> <span class=\"unit\">m</span></td></tr></table>",
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      "petameters",
      "Petameters",
      "Pm"
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    [
      "terameters",
      "Terameters",
      "Tm"
    ],
    [
      "gigameters",
      "Gigameters",
      "Gm"
    ],
    [
      "megameters",
      "Megameters",
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    [
      "hectometers",
      "Hectameters",
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    [
      "dekameters",
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      "microns",
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      "femtometers",
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    [
      "nautical_miles_uk",
      "Nautical Miles (UK)",
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    [
      "nautical_miles",
      "Nautical miles (International)",
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    [
      "miles_statute",
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    [
      "miles_us_survey",
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      "Miles (Roman)",
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      "span_cloth",
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      "fingers_cloth",
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      "in"
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    [
      "barleycorns",
      "Barleycorns",
      "barleycorn"
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      "mil",
      "mil",
      "mil"
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    [
      "microinches",
      "Microinches",
      "µin"
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    [
      "angstroms",
      "Angstroms",
      "A"
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    [
      "fermi",
      "Fermi",
      "f"
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    [
      "arpents",
      "Arpent",
      "arpent"
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    [
      "picas",
      "Pica",
      "pica"
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    [
      "points",
      "Point",
      "point"
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    [
      "twips",
      "Twip",
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      "russian archin"
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      "Roman actus",
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      "Vara De Tarea",
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      "Vara Conuquera",
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      "cubits_greek",
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      "Handbreadth",
      "handbreadth"
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      "fingerbreadth",
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  "y_long_desc": "A meter (m) is a unit of length in the International System of Units (SI). One meter is equivalent to approximately 3.2808 feet. </p><p>The meter is defined by the distance light travels in a vacuum in 1/299,792,458 seconds.</p><p>Meters are used worldwide to measure length and distance in various fields, including science, engineering, and everyday life. Most countries have adopted the meter as the standard unit of measurement for length.",
  "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."
}