Convert Online Unit Length Bohr radius to Astronomical Units
Convert Bohr radius to Astronomical Units
Bohr radius
b ResetAstronomical Units
AU Copy
How to use this Bohr radius to Astronomical Units Converter 🤔 Follow these steps to convert given Bohr radius value from Bohr radius units to Astronomical Units units.
Enter the input Bohr radius value in the text field. The given Bohr radius is converted to Astronomical Units in realtime ⌚ using the formula, and displayed under the Astronomical Units label. You may copy the resulting Astronomical Units value using the Copy button. Calculation Calculation will be done after you enter a valid input.
Bohr radius to Astronomical Units Conversion TableThe following table gives some of the most used conversions from Bohr radius to Astronomical Units.
Bohr radius (b ) Astronomical Units (AU ) 0 b 0 AU 1 b 0 AU 2 b 0 AU 3 b 0 AU 4 b 0 AU 5 b 0 AU 6 b 0 AU 7 b 0 AU 8 b 0 AU 9 b 0 AU 10 b 0 AU 20 b 0 AU 50 b 0 AU 100 b 0 AU 1000 b 0 AU 10000 b 0 AU 100000 b 0 AU
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.
Astronomical Units An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles.
The astronomical unit is defined as the mean distance between the Earth and the Sun.
Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.
{
"conversion": "bohr_radius-astronomical_unit",
"x_slug": "bohr_radius",
"y_slug": "astronomical_unit",
"x": "b",
"y": "AU",
"x_desc": "Bohr radius",
"y_desc": "Astronomical Units",
"category": "Length",
"symbol": "m",
"formula": "x / 2.8269898411236535e+21",
"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 Astronomical Units.</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 astronomical units is:</p>\n <p class=\"formula step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 2.8269898411236535e+21</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>(Astronomical Units)</sub></span> = <span>2</span> / 2.8269898411236535e+21</p>\n <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = 0</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>2 b</strong> is equal to <strong>0 AU</strong>.</p>\n <p>The length is <strong>0 AU</strong>, in astronomical units.</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 Astronomical Units.</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 astronomical units is:</p>\n <p class=\"formula step\"><span>Length<sub>(Astronomical Units)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 2.8269898411236535e+21</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>(Astronomical Units)</sub></span> = <span>3.5</span> / 2.8269898411236535e+21</p>\n <p class=\"step\"><span>Length<sub>(Astronomical Units)</sub></span> = 0</p>\n <p><strong>Final Answer:</strong></p>\n <p>Therefore, <strong>3.5 b</strong> is equal to <strong>0 AU</strong>.</p>\n <p>The length is <strong>0 AU</strong>, in astronomical units.</p>\n </div>\n ",
"img": "<img class=\"conversion\" src=\"/images/unit/length/bohr_radius-astronomical_unit.webp\" height=\"360\" width=\"640\" alt=\"Bohr radius to Astronomical Units Converter | b to AU\" />",
"table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Astronomical Units</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Astronomical Units.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Astronomical Units (<span class=\"unit\">AU</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">AU</span></td></tr></table>",
"units": [
[
"meters",
"Meters",
"m"
],
[
"kilometers",
"Kilometers",
"km"
],
[
"decimeters",
"Decimeters",
"dm"
],
[
"centimeters",
"Centimeters",
"cm"
],
[
"millimeters",
"Millimeters",
"mm"
],
[
"micrometers",
"Micrometers",
"µm"
],
[
"nanometers",
"Nanometers",
"nm"
],
[
"miles",
"Miles",
"mi"
],
[
"yards",
"Yards",
"yd"
],
[
"feet",
"Feet",
"ft"
],
[
"inches",
"Inches",
"in"
],
[
"lightyears",
"Lightyears",
"ly"
],
[
"exameters",
"Exameters",
"Em"
],
[
"petameters",
"Petameters",
"Pm"
],
[
"terameters",
"Terameters",
"Tm"
],
[
"gigameters",
"Gigameters",
"Gm"
],
[
"megameters",
"Megameters",
"Mm"
],
[
"hectometers",
"Hectameters",
"hm"
],
[
"dekameters",
"Dekameters",
"dam"
],
[
"microns",
"Microns",
"µ"
],
[
"picometers",
"Picometers",
"pm"
],
[
"femtometers",
"Femtometers",
"fm"
],
[
"attometers",
"Attometers",
"am"
],
[
"megaparsecs",
"Megaparsecs",
"Mpc"
],
[
"kiloparsecs",
"Kiloparsecs",
"kpc"
],
[
"parsecs",
"Parsecs",
"pc"
],
[
"astronomical_unit",
"Astronomical Units",
"AU"
],
[
"leagues",
"Leagues",
"lea"
],
[
"nautical_leagues_uk",
"Nautical Leagues (UK)",
"nautical league"
],
[
"nautical_leagues",
"Nautical Leagues (International)",
"nautical league"
],
[
"leagues_statute",
"Leagues (statute)",
"st.league"
],
[
"nautical_miles_uk",
"Nautical Miles (UK)",
"NM (UK)"
],
[
"nautical_miles",
"Nautical miles (International)",
"nmi"
],
[
"miles_statute",
"Miles (statute)",
"mi (US)"
],
[
"miles_us_survey",
"Miles (US survey)",
"mi"
],
[
"miles_roman",
"Miles (Roman)",
"mi (roman)"
],
[
"kiloyards",
"Kiloyards",
"kyd"
],
[
"furlongs",
"Furlongs",
"fur"
],
[
"furlongs_us_survey",
"Furlongs (US survey)",
"fur"
],
[
"chains",
"Chains",
"ch"
],
[
"chain_us_survey",
"Chains (US survey)",
"ch"
],
[
"ropes",
"Ropes",
"rope"
],
[
"rods",
"Rod",
"rd"
],
[
"rods_us_survey",
"Rods (US survey)",
"rd"
],
[
"perch",
"Perch",
"perch"
],
[
"poles",
"Poles",
"pole"
],
[
"fathoms",
"Fathoms",
"fath"
],
[
"fathoms_us_survey",
"Fathoms (US survey)",
"fath"
],
[
"ell",
"ell",
"ell"
],
[
"foot_us_survey",
"Feet (US survey)",
"ft"
],
[
"links",
"Links",
"li"
],
[
"links_us_survey",
"link (US survey)",
"li"
],
[
"cubits_uk",
"Cubits (UK)",
"cubit"
],
[
"hands",
"Hands",
"hand"
],
[
"span_cloth",
"Span (cloth)",
"span"
],
[
"fingers_cloth",
"Fingers (cloth)",
"finger"
],
[
"nails",
"Nails (cloth)",
"nail"
],
[
"inches_us_survey",
"Inches (US survey)",
"in"
],
[
"barleycorns",
"Barleycorns",
"barleycorn"
],
[
"mil",
"mil",
"mil"
],
[
"microinches",
"Microinches",
"µin"
],
[
"angstroms",
"Angstroms",
"A"
],
[
"fermi",
"Fermi",
"f"
],
[
"arpents",
"Arpent",
"arpent"
],
[
"picas",
"Pica",
"pica"
],
[
"points",
"Point",
"point"
],
[
"twips",
"Twip",
"twip"
],
[
"aln",
"aln",
"aln"
],
[
"famns",
"Famns",
"famn"
],
[
"calibers",
"Caliber",
"cl"
],
[
"centiinches",
"Centiinch",
"cin"
],
[
"kens",
"Kens",
"ken"
],
[
"russian_archin",
"Russian archin",
"russian archin"
],
[
"roman_actus",
"Roman actus",
"Roman actus"
],
[
"vara_de_tarea",
"Vara De Tarea",
"vara de tarea"
],
[
"vara_conuquera",
"Vara Conuquera",
"vara conuquera"
],
[
"vara_castellana",
"vara Castellana",
"vara castellana"
],
[
"cubits_greek",
"Cubit (Greek)",
"cubit (Greek)"
],
[
"long_reeds",
"Long Reed",
"long reed"
],
[
"reeds",
"Reed",
"reed"
],
[
"long_cubits",
"Long cubits",
"long cubit"
],
[
"handbreadths",
"Handbreadth",
"handbreadth"
],
[
"fingerbreadth",
"Fingerbreadth",
"fingerbreadth"
],
[
"planck_length",
"Planck length",
"Planck length"
],
[
"electron_radius_classical",
"Electron radius (classical) ",
"electron radius"
],
[
"bohr_radius",
"Bohr radius",
"b"
],
[
"earths_equatorial_radius",
"Earth's equatorial radius",
"earth's equatorial radius"
],
[
"earths_polar_radius",
"Earth's polar radius",
"Earth's polar radius"
],
[
"earths_distance_from_sun",
"Earth's distance from sun",
"earth's distance from sun"
],
[
"suns_radius",
"Sun's radius",
"sun's radius"
]
],
"y_long_desc": "An astronomical unit (AU) is a unit of length used in astronomy to measure distances within our solar system. One astronomical unit is equivalent to approximately 149,597,870.7 kilometers or about 92,955,807.3 miles. </p><p>The astronomical unit is defined as the mean distance between the Earth and the Sun.</p><p>Astronomical units are used to express distances between celestial bodies within the solar system, such as the distances between planets and their orbits. They provide a convenient scale for describing and comparing distances in a way that is more manageable than using kilometers or miles.",
"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."
}