{"id":66961,"date":"2026-10-13T10:41:10","date_gmt":"2026-10-13T07:41:10","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66961"},"modified":"2026-10-13T10:41:10","modified_gmt":"2026-10-13T07:41:10","slug":"stefan-boltzmann-law-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/physics\/stefan-boltzmann-law-calculator\/","title":{"rendered":"Stefan\u2013Boltzmann Law Calculator"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Find the Thermal Radiation Emitted by a Surface<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66961\" data-favorite-title=\"Stefan\u2013Boltzmann Law\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/physics\/stefan-boltzmann-law-calculator\/\" data-favorite-excerpt=\"Calculate the thermal radiation emitted by any surface using the Stefan\u2013Boltzmann law. Enter surface temperature, emissivity, and area to get radiated power, plus net heat transfer with the surroundings.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-physic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/physics\/stefan-boltzmann-law-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66961\" data-post=\"66961\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Surface temperature (T)<\/label><div class=\"term\">T<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"surface_temperature_t\" id=\"field-1\" aria-describedby=\"calc-info-1\" placeholder=\"e.g. 500\" min=\"-459.67\" step=\"any\" value=\"500\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"unit\" aria-label=\"Unit\"><option value=\"k\" selected>K<\/option><option value=\"c\">\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">Temperature of the radiating surface. Incandescent filament \u2248 2800 K, boiling water \u2248 373 K, room temperature \u2248 293 K.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Emissivity (\u03b5)<\/label><div class=\"term\">\u03b5<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"emissivity_\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.9\" min=\"0\" max=\"1\" value=\"0.9\"\/><small id=\"calc-info-3\">How effectively the surface radiates compared with a perfect blackbody: 1 = blackbody, most non-metallic surfaces 0.8\u20130.95, polished metals 0.05\u20130.2.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">Surface area (A)<\/label><div class=\"term\">A<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"surface_area_a\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1\" min=\"0\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"unit\" aria-label=\"Unit\"><option value=\"m2\" selected>m\u00b2<\/option><option value=\"cm2\">cm\u00b2<\/option><option value=\"ft2\">ft\u00b2<\/option><option value=\"in2\">in\u00b2<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-4\">Total radiating area of the object.<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-6\">Surroundings temperature (T\u2080), optional<\/label><div class=\"term\">T\u2080<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"surroundings_temperature_t_optional\" id=\"field-6\" aria-describedby=\"calc-info-6\" placeholder=\"e.g. 300 (leave blank to skip)\" min=\"-459.67\" step=\"any\" value=\"300\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"unit\" aria-label=\"Unit\"><option value=\"k\" selected>K<\/option><option value=\"c\">\u00b0C<\/option><option value=\"f\">\u00b0F<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-6\">Optional. Temperature of the environment the surface exchanges radiation with. If entered, the calculator also finds the net radiative heat transfer (emitted minus absorbed).<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66961\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Radiation Results<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Total radiated power<\/span><span class=\"result-term\">P<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Net radiative heat transfer with the surroundings<\/span><span class=\"result-term\">P_net<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"66961\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Stefan\u2013Boltzmann Law Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ P = \\varepsilon \\, \\sigma \\, A \\, T^{4} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 total radiated power (W)<\/li>\n<li>\\(\\varepsilon\\) \u2014 emissivity of the surface (dimensionless, 0 to 1)<\/li>\n<li>\\(\\sigma\\) \u2014 Stefan\u2013Boltzmann constant, \\(5.670374419 \\times 10^{-8}\\ \\mathrm{W\/(m^2 \\cdot K^4)}\\)<\/li>\n<li>\\(A\\) \u2014 radiating surface area (m\u00b2)<\/li>\n<li>\\(T\\) \u2014 absolute temperature of the surface (K)<\/li>\n<\/ul>\n<p>The formula gives the total electromagnetic power a surface emits by thermal radiation. Because \\(T\\) is raised to the fourth power, radiated power grows extremely fast with temperature: doubling the absolute temperature increases the radiation 16-fold.<\/p>\n<p>If you also want the <em>net<\/em> exchange with cooler or hotter surroundings at temperature \\(T_0\\), the calculator uses:<\/p>\n<p>\\[ P_{net} = \\varepsilon \\, \\sigma \\, A \\left( T^{4} - T_0^{4} \\right) \\]<\/p>\n<p>A positive result means the surface loses heat; a negative result means it absorbs more radiation than it emits and heats up.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Stefan\u2013Boltzmann Law \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a metal plate with an emissivity of 0.9 and an area of 1 m\u00b2 is heated to 500 K in a room whose walls are at 300 K.<\/p>\n<p>\\[ P = \\varepsilon \\, \\sigma \\, A \\, T^4 = 0.9 \\times 5.670374419 \\times 10^{-8} \\times 1 \\times 500^4 \\approx 3189.59\\ \\mathrm{W} \\]<\/p>\n<p>The plate emits about 3189.59 W (3.19 kW) of thermal radiation. To find the net exchange with the room:<\/p>\n<p>\\[ P_{net} = 0.9 \\times 5.670374419 \\times 10^{-8} \\times 1 \\times (500^4 - 300^4) \\approx 3189.59 - 413.37 = 2776.22\\ \\mathrm{W} \\]<\/p>\n<p><strong>Result:<\/strong> the plate radiates 3189.59 W in total, and its net radiative heat loss to the 300 K surroundings is 2776.22 W (about 2.78 kW).<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Surface temperature (T)<\/strong> and pick its unit \u2014 K, \u00b0C, or \u00b0F. The value is converted to kelvin automatically (e.g. an incandescent filament runs near 2800 K, boiling water near 373 K).<\/li>\n<li>Enter the <strong>Emissivity (\u03b5)<\/strong> of the surface, between 0 and 1. Use 1 for an ideal blackbody, roughly 0.8\u20130.95 for most non-metallic surfaces, and 0.05\u20130.2 for polished metals.<\/li>\n<li>Enter the <strong>Surface area (A)<\/strong> and select m\u00b2, cm\u00b2, ft\u00b2, or in\u00b2.<\/li>\n<li>Optionally enter the <strong>Surroundings temperature (T\u2080)<\/strong> to also get the net radiative heat transfer. Leave this field blank if you only need the total radiated power.<\/li>\n<li>Read the results: total radiated power in watts, kilowatts, horsepower and BTU\/h, plus the net heat transfer if a surroundings temperature was given.<\/li>\n<\/ol>\n<h2>What Is the Stefan\u2013Boltzmann Law?<\/h2>\n<p>Every object above absolute zero emits electromagnetic radiation because of the thermal motion of its charged particles. At everyday temperatures almost all of this radiation is invisible infrared; hot objects like stove burners and incandescent filaments radiate enough visible light to glow. The Stefan\u2013Boltzmann law, derived by Josef Stefan in 1879 and confirmed theoretically by Ludwig Boltzmann in 1884, quantifies this emission: the total radiated power is proportional to the fourth power of the absolute temperature.<\/p>\n<p>The law strictly describes a <em>blackbody<\/em> \u2014 an idealized surface that absorbs and emits radiation perfectly at every wavelength. Real surfaces fall short of this ideal, which is accounted for by the emissivity \\(\\varepsilon\\). A blackbody has \\(\\varepsilon = 1\\); dark, rough, non-metallic surfaces typically fall between 0.8 and 0.95, while polished metals can be below 0.1, which is why a shiny aluminum surface radiates far less heat than a black-painted one at the same temperature.<\/p>\n<p>Interpreting the result is straightforward. The <strong>total radiated power<\/strong> tells you how much energy the surface emits per second, regardless of what it receives back. The <strong>net radiative heat transfer<\/strong> is usually the more practical number: it is the difference between what the surface emits and what it absorbs from its surroundings. A hot object in a cool room has a positive net transfer (it cools by radiation); an object colder than its surroundings has a negative one (it warms up); and when the two temperatures are equal, emission and absorption cancel exactly.<\/p>\n<p>The fourth-power dependence dominates practical thermal design. This is why radiant heaters, lava lamps, and re-entry spacecraft heat shields work the way they do, and why doubling the temperature of a kiln multiplies its wall losses by sixteen. To explore the wavelength where the radiation peaks at a given temperature, see the related <a href=\"https:\/\/wpcalc.com\/en\/physics\/wiens-displacement-law-calculator\/\">Wien's Displacement Law calculator<\/a>.<\/p>\n<h2>Assumptions, Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>The surface is isothermal and gray.<\/strong> The calculator assumes one uniform temperature and a constant emissivity across all wavelengths. Real materials have wavelength-dependent emissivity, which can introduce errors of a few percent.<\/li>\n<li><strong>View factors are ignored in the net result.<\/strong> The net-transfer formula assumes the surroundings fully enclose the surface (a view factor of 1), so all radiation leaving the surface reaches the environment. For partially exposed surfaces the true net exchange is smaller.<\/li>\n<li><strong>Only radiation is computed.<\/strong> Real objects also lose heat by <a href=\"https:\/\/wpcalc.com\/en\/physics\/newtons-law-of-cooling-calculator\/\">convection and conduction<\/a>; at moderate temperatures convection often dominates, so the radiated power alone rarely gives the total cooling rate.<\/li>\n<li><strong>Temperature must be absolute.<\/strong> The law uses kelvin. The calculator converts \u00b0C and \u00b0F for you, but if you compute by hand, remember that 500 \u00b0C = 773.15 K \u2014 not 500 K \u2014 and the fourth power makes the difference enormous.<\/li>\n<li><strong>Emissivity matters as much as temperature.<\/strong> When estimating heat from a real object, choosing \\(\\varepsilon\\) properly (rough and oxidized surfaces radiate much more than polished ones) is often the largest source of uncertainty.<\/li>\n<li><strong>Check the direction of the net result.<\/strong> A negative net power simply means the surroundings are hotter than the surface and it is absorbing energy \u2014 the surface will warm up.<\/li>\n<\/ul>\n<p>For a related energy-conversion perspective, the <a href=\"https:\/\/wpcalc.com\/en\/physics\/carnot-efficiency-calculator\/\">Carnot efficiency calculator<\/a> shows the maximum fraction of that heat energy a heat engine could convert to work.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the thermal radiation emitted by any surface using the Stefan\u2013Boltzmann law. Enter surface temperature, emissivity, and area to get radiated power, plus net heat transfer with the surroundings.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[62],"tags":[91],"class_list":["post-66961","post","type-post","status-publish","format-standard","hentry","category-physics","tag-energy-work"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66961"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66961\/revisions"}],"predecessor-version":[{"id":66962,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66961\/revisions\/66962"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}