{"id":16,"date":"2026-10-18T17:52:34","date_gmt":"2026-10-18T09:52:34","guid":{"rendered":"http:\/\/114.55.131.51\/index.php\/2026\/10\/18\/hydrogen-electron-cloud-making-of\/"},"modified":"2026-10-18T23:20:56","modified_gmt":"2026-10-18T15:20:56","slug":"hydrogen-electron-cloud-making-of","status":"publish","type":"post","link":"https:\/\/www.sakurafalling.fun\/index.php\/2026\/10\/18\/hydrogen-electron-cloud-making-of\/","title":{"rendered":"\u4ece\u6ce2\u51fd\u6570\u5230\u70b9\u4e91\uff1a\u6211\u662f\u600e\u4e48\u505a\u300c\u6c22\u539f\u5b50\u7535\u5b50\u4e91\u300d\u8fd9\u4e2a\u7f51\u9875\u7684"},"content":{"rendered":"<blockquote>\n<p>\u4e00\u4e2a\u9759\u6001\u9875\u9762\u300130 000 \u4e2a\u91c7\u6837\u70b9\uff0c\u628a\u6c22\u539f\u5b50\u7684\u6982\u7387\u5bc6\u5ea6\u5b9e\u65f6\u753b\u6210\u4e00\u56e2\u53ef\u4ee5\u65cb\u8f6c\u7684\u7535\u5b50\u4e91\u3002<\/p>\n<\/blockquote>\n<p>\u5728\u7ebf\u4f53\u9a8c\uff1a<a href=\"\/cloud\/\">\u6253\u5f00\u7535\u5b50\u4e91\u5b9e\u9a8c\u5ba4<\/a><\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/114.55.131.51\/wp-content\/uploads\/2026\/10\/hydrogen-cloud-preview.png'><img class=\"lazyload lazyload-style-none\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" loading=\"lazy\" alt=\"\u6c22\u539f\u5b50\u7535\u5b50\u4e91\u684c\u9762\u7aef\u754c\u9762\" data-original=\"http:\/\/114.55.131.51\/wp-content\/uploads\/2026\/10\/hydrogen-cloud-preview.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" \/><\/div><\/p>\n<h2 id=\"_2\">\u4e00\u3001\u76ee\u6807\uff1a\u4e0d\u662f\u4e00\u5f20\u4f1a\u52a8\u7684\u6d77\u62a5<\/h2>\n<p>\u6700\u521d\u7684\u60f3\u6cd5\u5f88\u5177\u4f53\uff1a\u505a\u4e00\u4e2a\u6df1\u7a7a\u7d2b\u9ed1\u80cc\u666f\u3001\u53d1\u5149\u7684\u54c1\u7ea2\u70b9\u4e91\u3001\u5e26 HUD \u4eea\u8868\u76d8\u7684\u300c\u6c22\u539f\u5b50\u7535\u5b50\u4e91\u300d\u9875\u9762\uff0c\u8fd8\u8981\u80fd\u5207\u6362\u91cf\u5b50\u6570\u3002<\/p>\n<p>\u4f46\u6211\u4e0d\u60f3\u628a\u5b83\u505a\u6210\u4e00\u5f20\u300c\u4f1a\u52a8\u7684\u6d77\u62a5\u300d\u3002\u70b9\u4e91\u5fc5\u987b\u6765\u81ea\u771f\u5b9e\u7684\u6ce2\u51fd\u6570\u2014\u2014\u5207\u6362 n\u3001\u2113\u3001m \u65f6\uff0c\u4e91\u7684\u7ed3\u6784\u8981\u8ddf\u7740\u7269\u7406\u89c4\u5f8b\u53d8\u5316\uff1b\u540c\u65f6\u8981\u8db3\u591f\u6d41\u7545\uff0c\u624b\u673a\u4e0a\u4e5f\u80fd\u62d6\u52a8\u65cb\u8f6c\u3002<\/p>\n<p>\u6700\u540e\u5b9a\u4e0b\u7684\u7ea6\u675f\u662f\uff1a<\/p>\n<ul>\n<li>\u5355\u6587\u4ef6 HTML\uff0c\u65e0\u6846\u67b6\u3001\u65e0\u6784\u5efa\u3001\u65e0 CDN\uff1b<\/li>\n<li>\u771f\u5b9e\u7684\u6c22\u539f\u5b50\u6ce2\u51fd\u6570\u91c7\u6837\uff0c\u4e0d\u662f\u9884\u8bbe\u6a21\u578b\uff1b<\/li>\n<li>WebGL \u6e32\u67d3\uff0c30 000 \u4e2a\u70b9\u5b9e\u65f6\u65cb\u8f6c\uff1b<\/li>\n<li>\u684c\u9762\u7aef\u53f3\u4fa7\u4eea\u8868\u76d8\uff0c\u79fb\u52a8\u7aef\u4e0a\u4e0b\u5806\u53e0\uff1b<\/li>\n<li>\u652f\u6301 PNG \u5bfc\u51fa\uff0cWebGL \u4e0d\u53ef\u7528\u65f6\u81ea\u52a8\u964d\u7ea7\u4e3a 2D\u3002<\/li>\n<\/ul>\n<p>\u6700\u7ec8\u6587\u4ef6\u7ea6 62 KB\u3002<\/p>\n<h2 id=\"_3\">\u4e8c\u3001\u7269\u7406\uff1a\u5148\u628a\u6ce2\u51fd\u6570\u7b97\u5bf9<\/h2>\n<h3 id=\"21\">2.1 \u5206\u79bb\u53d8\u91cf<\/h3>\n<p>\u6c22\u539f\u5b50\uff08Z = 1\uff09\u7684\u5b9a\u6001\u6ce2\u51fd\u6570\u53ef\u4ee5\u5199\u6210\u5f84\u5411\u90e8\u5206\u548c\u89d2\u5411\u90e8\u5206\u7684\u4e58\u79ef\uff1a<\/p>\n<p><code>\u03c8n\u2113m(r, \u03b8, \u03c6) = Rn\u2113(r) \u00b7 Y\u2113m(\u03b8, \u03c6)<\/code><\/p>\n<p>\u6211\u4eec\u770b\u5230\u7684\u7535\u5b50\u4e91\uff0c\u672c\u8d28\u662f\u6982\u7387\u5bc6\u5ea6 <code>|\u03c8|\u00b2<\/code> \u7684\u5206\u5e03\u3002\u6240\u4ee5\u53ea\u8981\u628a <code>R<\/code> \u548c <code>Y<\/code> \u90fd\u7b97\u5bf9\uff0c\u91c7\u6837\u51fa\u6765\u7684\u70b9\u4e91\u81ea\u7136\u5c31\u662f\u5bf9\u7684\u3002<\/p>\n<h3 id=\"22\">2.2 \u5f84\u5411\u6ce2\u51fd\u6570<\/h3>\n<p>\u91c7\u7528\u539f\u5b50\u5355\u4f4d\uff08a\u2080 = 1\uff09\uff0c\u5f84\u5411\u51fd\u6570\u4e3a\uff1a<\/p>\n<p><code>Rn\u2113(r) = \u221a[ (2\/n)\u00b3 \u00b7 (n\u2212\u2113\u22121)! \/ (2n\u00b7(n+\u2113)!) ] \u00b7 e^(\u2212\u03c1\/2) \u00b7 \u03c1^\u2113 \u00b7 L^(2\u2113+1)_(n\u2212\u2113\u22121)(\u03c1)<\/code><\/p>\n<p>\u5176\u4e2d <code>\u03c1 = 2r\/n<\/code>\uff0c<code>L<\/code> \u662f\u5173\u8054\u62c9\u76d6\u5c14\u591a\u9879\u5f0f\u3002\u62c9\u76d6\u5c14\u591a\u9879\u5f0f\u7528\u9012\u63a8\u8ba1\u7b97\uff0c\u907f\u514d\u76f4\u63a5\u5c55\u5f00\u9636\u4e58\u548c\u5e42\uff1a<\/p>\n<p><code>(q+1)\u00b7L(q+1) = (2q+1+k\u2212x)\u00b7L(q) \u2212 (q+k)\u00b7L(q\u22121)<\/code><\/p>\n<p>\u4ee3\u7801\u5f88\u77ed\uff1a<\/p>\n<pre><code class=\"language-js\">function radialR(n, l, r) {\r\n  const rho = 2 * r \/ n;\r\n  const norm = Math.sqrt(\r\n    Math.pow(2 \/ n, 3) * fact(n - l - 1) \/ (2 * n * fact(n + l))\r\n  );\r\n  return norm * Math.exp(-rho \/ 2)\r\n       * Math.pow(rho, l)\r\n       * laguerre(n - l - 1, 2 * l + 1, rho);\r\n}\r\n<\/code><\/pre>\n<h3 id=\"23\">2.3 \u89d2\u5411\uff1a\u5b9e\u7403\u8c10\u4e0e\u76f8\u4f4d<\/h3>\n<p>\u4e3a\u4e86\u753b\u51fa\u300c\u6b63\u76f8\u4f4d \/ \u8d1f\u76f8\u4f4d\u300d\u4e24\u79cd\u989c\u8272\uff0c\u6211\u7528\u7684\u662f\u5b9e\u7403\u8c10\u51fd\u6570\uff0c\u800c\u4e0d\u662f\u590d\u6570\u5f62\u5f0f\uff1a<\/p>\n<ul>\n<li>m = 0\uff1a<code>Y = N \u00b7 P\u2113(cos\u03b8)<\/code><\/li>\n<li>m &gt; 0\uff1a<code>Y = \u221a2 \u00b7 N \u00b7 P\u2113^m(cos\u03b8) \u00b7 cos(m\u03c6)<\/code><\/li>\n<li>m &lt; 0\uff1a<code>Y = \u221a2 \u00b7 N \u00b7 P\u2113^|m|(cos\u03b8) \u00b7 sin(|m|\u03c6)<\/code><\/li>\n<\/ul>\n<p>\u5f52\u4e00\u5316\u7cfb\u6570\uff1a<\/p>\n<p><code>N = \u221a[ (2\u2113+1)\/(4\u03c0) \u00b7 (\u2113\u2212|m|)!\/(\u2113+|m|)! ]<\/code><\/p>\n<p><code>P\u2113^m<\/code> \u7528\u6807\u51c6\u7684\u8fde\u5e26\u52d2\u8ba9\u5fb7\u9012\u63a8\u7b97\u3002\u51fd\u6570\u503c\u7684\u7b26\u53f7\u5c31\u662f\u76f8\u4f4d\uff1a<code>R<\/code> \u548c <code>Y<\/code> \u540c\u53f7\u65f6\u6807\u6210\u54c1\u7ea2\uff0c\u5f02\u53f7\u65f6\u6807\u6210\u9752\u84dd\u3002\u8fd9\u6837 2s \u4f1a\u51fa\u73b0\u300c\u5185\u5c42\u7c89\u3001\u5916\u5c42\u84dd\u300d\uff0c3d\u30014f \u7684\u76f8\u90bb\u82b1\u74e3\u4e5f\u4f1a\u81ea\u52a8\u4ea4\u66ff\u989c\u8272\u3002<\/p>\n<h3 id=\"24\">2.4 \u53ef\u9a8c\u8bc1\u7684\u7269\u7406\u91cf<\/h3>\n<p>\u9664\u4e86\u4e91\u672c\u8eab\uff0c\u754c\u9762\u4e0a\u8fd8\u5b9e\u65f6\u663e\u793a\u8fd9\u4e9b\u91cf\uff0c\u65b9\u4fbf\u5bf9\u7167\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>\u7269\u7406\u91cf<\/th>\n<th>\u516c\u5f0f<\/th>\n<th>\u8bf4\u660e<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u5e73\u5747\u534a\u5f84 \u27e8r\u27e9<\/td>\n<td><code>[3n\u00b2 \u2212 \u2113(\u2113+1)] \/ 2<\/code><\/td>\n<td>\u5355\u4f4d a\u2080<\/td>\n<\/tr>\n<tr>\n<td>\u80fd\u7ea7 En<\/td>\n<td><code>\u221213.606 \/ n\u00b2<\/code><\/td>\n<td>\u5355\u4f4d eV<\/td>\n<\/tr>\n<tr>\n<td>\u5f84\u5411\u8282\u9762<\/td>\n<td><code>n \u2212 \u2113 \u2212 1<\/code><\/td>\n<td>\u7403\u58f3\u72b6\u8282\u70b9<\/td>\n<\/tr>\n<tr>\n<td>\u89d2\u5411\u8282\u9762<\/td>\n<td><code>\u2113<\/code><\/td>\n<td>\u901a\u8fc7\u539f\u5b50\u6838\u7684\u8282\u9762<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"2-30-000\">\u4e09\u3001\u91c7\u6837\uff1a\u628a |\u03c8|\u00b2 \u53d8\u6210 30 000 \u4e2a\u70b9<\/h2>\n<h3 id=\"31\">3.1 \u4e3a\u4ec0\u4e48\u4e0d\u80fd\u5747\u5300\u6492\u70b9<\/h3>\n<p>\u5982\u679c\u5728\u4e00\u4e2a\u7acb\u65b9\u4f53\u91cc\u5747\u5300\u968f\u673a\u53d6\u70b9\uff0c\u5f97\u5230\u7684\u53ea\u662f\u4e00\u56e2\u5747\u5300\u7684\u96fe\uff0c\u5b8c\u5168\u770b\u4e0d\u51fa\u8f68\u9053\u5f62\u72b6\u3002\u6b63\u786e\u505a\u6cd5\u662f\u6309 <code>|\u03c8|\u00b2<\/code> \u91c7\u6837\uff1a\u6982\u7387\u5bc6\u5ea6\u5927\u7684\u5730\u65b9\u70b9\u66f4\u5bc6\u3002<\/p>\n<p>\u5f84\u5411\u548c\u89d2\u5411\u53ef\u4ee5\u5206\u5f00\u91c7\u6837\uff0c\u56e0\u4e3a <code>|\u03c8|\u00b2 = |R(r)|\u00b2 \u00b7 |Y(\u03b8,\u03c6)|\u00b2<\/code>\u3002<\/p>\n<h3 id=\"32\">3.2 \u5f84\u5411\uff1a\u7d2f\u79ef\u5206\u5e03 + \u9006\u53d8\u6362<\/h3>\n<p>\u5f84\u5411\u7684\u6982\u7387\u5206\u5e03\u662f <code>P(r) = r\u00b2|R(r)|\u00b2<\/code>\u3002\u5148\u5728 <code>[0, rmax]<\/code> \u4e0a\u4ee5 6 500 \u4e2a\u6b65\u957f\u79ef\u5206\uff0c\u5f97\u5230\u5f52\u4e00\u5316\u7684\u7d2f\u79ef\u5206\u5e03 CDF\uff0c\u7136\u540e\u7528\u9006\u53d8\u6362\u91c7\u6837\uff1a<\/p>\n<pre><code class=\"language-js\">function sampleR(rad, u) {\r\n  let lo = 0, hi = rad.steps;\r\n  while (lo + 1 &lt; hi) {\r\n    const mid = (lo + hi) &gt;&gt; 1;\r\n    if (rad.cdf[mid] &lt; u) lo = mid;\r\n    else hi = mid;\r\n  }\r\n  const a = rad.cdf[lo], b = rad.cdf[hi];\r\n  const t = b &gt; a ? (u - a) \/ (b - a) : 0;\r\n  return (lo + t) * rad.dr;\r\n}\r\n<\/code><\/pre>\n<p>\u8fd9\u4e2a\u65b9\u6cd5\u6ca1\u6709\u62d2\u7edd\u3001\u4e0d\u4f1a\u6d6a\u8d39\u6837\u672c\uff0c\u800c\u4e14 <code>\u27e8r\u27e9<\/code> \u7684\u62bd\u6837\u8bef\u5dee\u80fd\u7a33\u5b9a\u5728 1% \u4ee5\u5185\u3002<\/p>\n<h3 id=\"33-p2\">3.3 \u89d2\u5411\uff1a|P|\u00b2 \u9006\u53d8\u6362 + \u03c6 \u62d2\u7edd\u91c7\u6837<\/h3>\n<p>\u89d2\u5411\u90e8\u5206 <code>|Y|\u00b2<\/code> \u53ef\u4ee5\u62c6\u6210 <code>|P\u2113^m(cos\u03b8)|\u00b2<\/code> \u548c <code>cos\u00b2(m\u03c6)<\/code>\uff08\u6216 <code>sin\u00b2(m\u03c6)<\/code>\uff09\u7684\u4e58\u79ef\u3002<\/p>\n<ul>\n<li><code>cos\u03b8<\/code>\uff1a\u540c\u6837\u5efa\u4e00\u6761 1 600 \u6b65\u7684 CDF\uff0c\u9006\u53d8\u6362\u91c7\u6837\uff1b<\/li>\n<li><code>\u03c6<\/code>\uff1am = 0 \u65f6\u5747\u5300\u91c7\u6837\uff1bm \u2260 0 \u65f6\u7528\u62d2\u7edd\u91c7\u6837\uff0c\u63a5\u53d7\u6982\u7387\u662f <code>cos\u00b2(m\u03c6)<\/code> \u6216 <code>sin\u00b2(m\u03c6)<\/code>\uff0c\u5e73\u5747\u4e24\u6b21\u5c31\u80fd\u63a5\u53d7\u4e00\u4e2a\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u6837\u6bcf\u4e2a\u70b9\u53ea\u9700\u8981\u4e24\u6b21 CDF \u67e5\u627e\uff08\u5f84\u5411\u548c cos\u03b8\uff09\u3001\u4e00\u6b21 Legendre \u8ba1\u7b97\u548c\u5c11\u91cf\u4e09\u89d2\u51fd\u6570\u300230 000 \u4e2a\u70b9\u7684\u751f\u6210\u5728\u51e0\u5341\u6beb\u79d2\u91cf\u7ea7\uff0c\u5207\u6362\u91cf\u5b50\u6570\u65f6\u51e0\u4e4e\u611f\u89c9\u4e0d\u5230\u7b49\u5f85\u3002<\/p>\n<h3 id=\"34\">3.4 \u76f8\u4f4d\u51b3\u5b9a\u989c\u8272<\/h3>\n<p>\u91c7\u6837\u65f6\u540c\u65f6\u8bb0\u5f55\u4e24\u4e2a\u7b26\u53f7\uff1a\u5f84\u5411\u51fd\u6570 <code>R(r)<\/code> \u7684\u7b26\u53f7\uff0c\u4ee5\u53ca\u89d2\u5411\u51fd\u6570 <code>Y<\/code> \u7684\u7b26\u53f7\u3002\u4e24\u8005\u76f8\u4e58\u4e3a\u8d1f\uff0c\u5c31\u5199\u5165\u300c\u8d1f\u76f8\u4f4d\u300d\u6807\u8bb0\u3002\u6e32\u67d3\u65f6\u6309\u6807\u8bb0\u9009\u62e9\u54c1\u7ea2\u6216\u9752\u84dd\uff0c\u8fd9\u5c31\u662f\u753b\u9762\u91cc\u989c\u8272\u4ea4\u66ff\u7684\u6765\u6e90\u3002<\/p>\n<h2 id=\"webgl\">\u56db\u3001\u6e32\u67d3\uff1aWebGL \u70b9\u7cbe\u7075<\/h2>\n<h3 id=\"41-canvas-2d\">4.1 \u4e3a\u4ec0\u4e48\u4e0d\u7528 Canvas 2D<\/h3>\n<p>30 000 \u4e2a\u70b9\u3001\u6bcf\u4e2a\u70b9\u8fd8\u8981\u6709\u67d4\u548c\u7684\u8f89\u5149\uff0c\u7528 Canvas 2D \u7684 <code>arc<\/code> \u6216 <code>drawImage<\/code> \u6bcf\u5e27\u91cd\u7ed8\u4f1a\u975e\u5e38\u5403\u529b\u3002WebGL \u7684 <code>gl.POINTS<\/code> \u53ef\u4ee5\u4e00\u6b21\u6027\u63d0\u4ea4\u6240\u6709\u70b9\uff0c\u5149\u6805\u5316\u548c\u6df7\u5408\u90fd\u4ea4\u7ed9 GPU\uff0c\u8fd8\u80fd\u7528\u70b9\u7cbe\u7075\uff08point sprite\uff09\u5728\u7247\u5143\u7740\u8272\u5668\u91cc\u753b\u51fa\u5706\u5f62\u67d4\u5149\u3002<\/p>\n<h3 id=\"42\">4.2 \u9876\u70b9\u7740\u8272\u5668\uff1a\u65cb\u8f6c\u3001\u6295\u5f71\u3001\u666f\u6df1<\/h3>\n<p>\u6bcf\u4e00\u5e27\u53ea\u66f4\u65b0\u4e00\u4e2a 3\u00d73 \u7684\u65cb\u8f6c\u77e9\u9635\uff0c\u70b9\u7684\u4f4d\u7f6e\u4e0d\u53d8\u3002\u9876\u70b9\u7740\u8272\u5668\u8d1f\u8d23\u65cb\u8f6c\u3001\u6b63\u4ea4\u6295\u5f71\uff0c\u4ee5\u53ca\u6309\u6df1\u5ea6\u8c03\u6574\u70b9\u7684\u5927\u5c0f\u548c\u4eae\u5ea6\uff1a<\/p>\n<pre><code class=\"language-glsl\">vec3 p = uRot * aPos;\r\nfloat t = clamp(p.z \/ uZ, -1.0, 1.0);\r\ngl_Position = vec4(\r\n  p.x * uScale \/ (uRes.x * 0.5),\r\n  p.y * uScale \/ (uRes.y * 0.5),\r\n  -t * 0.8, 1.0\r\n);\r\ngl_PointSize = uPoint\r\n  * (0.62 + 0.72 * (t * 0.5 + 0.5))\r\n  * (0.70 + 0.60 * aRand);\r\n<\/code><\/pre>\n<p><code>aRand<\/code> \u662f\u6bcf\u4e2a\u70b9\u81ea\u5e26\u7684\u968f\u673a\u6570\uff0c\u8ba9\u70b9\u7684\u5927\u5c0f\u7565\u6709\u5dee\u5f02\uff0c\u770b\u8d77\u6765\u66f4\u81ea\u7136\uff1b\u6df1\u5ea6\u8d8a\u9760\u524d\u7684\u70b9\u8d8a\u5927\u3001\u8d8a\u4eae\uff0c\u4e91\u5c31\u6709\u4e86\u4f53\u79ef\u611f\u3002<\/p>\n<h3 id=\"43\">4.3 \u7247\u5143\u7740\u8272\u5668\u4e0e\u52a0\u6cd5\u6df7\u5408<\/h3>\n<p>\u70b9\u7cbe\u7075\u7684\u5706\u5f62\u67d4\u5149\u6765\u81ea\u4e00\u4e2a\u9ad8\u65af\u8870\u51cf\uff1a<\/p>\n<pre><code class=\"language-glsl\">vec2 d = gl_PointCoord - 0.5;\r\nfloat r2 = dot(d, d) * 4.0;\r\nif (r2 &gt; 1.0) discard;\r\nfloat a = exp(-r2 * 2.9) * vA;\r\ngl_FragColor = vec4(vColor * a, a);\r\n<\/code><\/pre>\n<p>\u6df7\u5408\u6a21\u5f0f\u7528 <code>ONE, ONE<\/code> \u52a0\u6cd5\u6df7\u5408\u3002\u5927\u91cf\u70b9\u91cd\u53e0\u7684\u5730\u65b9\u4f1a\u81ea\u7136\u7d2f\u79ef\u6210\u4eae\u767d\u8272\u6838\u5fc3\uff0c\u8fb9\u7f18\u5219\u4fdd\u6301\u900f\u660e\uff0c\u8fd9\u6b63\u662f\u7535\u5b50\u4e91\u300c\u4e2d\u95f4\u4eae\u3001\u56db\u5468\u6de1\u300d\u7684\u89c2\u611f\u6765\u6e90\u3002<\/p>\n<h3 id=\"44\">4.4 \u4e09\u5c42\u8f89\u5149\u4e0e\u66dd\u5149\u8865\u507f<\/h3>\n<p>\u5355\u4e2a\u70b9\u53ea\u6709 1.85 px \u5de6\u53f3\uff0c\u76f4\u63a5\u753b\u4f1a\u663e\u5f97\u5f88\u300c\u6c99\u300d\u3002\u6240\u4ee5\u6bcf\u5e27\u753b\u4e09\u904d\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>\u5c42<\/th>\n<th>\u70b9\u5927\u5c0f<\/th>\n<th>\u900f\u660e\u5ea6<\/th>\n<th>\u4f5c\u7528<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u5916\u5c42\u8f89\u5149<\/td>\n<td>6.5\u00d7<\/td>\n<td>0.028<\/td>\n<td>\u5927\u8303\u56f4\u96fe\u72b6\u5149\u6655<\/td>\n<\/tr>\n<tr>\n<td>\u4e2d\u5c42\u5149\u6655<\/td>\n<td>2.8\u00d7<\/td>\n<td>0.082<\/td>\n<td>\u8ba9\u70b9\u4e0e\u70b9\u4e4b\u95f4\u8fde\u6210\u4e91<\/td>\n<\/tr>\n<tr>\n<td>\u6838\u5fc3\u70b9<\/td>\n<td>1\u00d7<\/td>\n<td>0.86<\/td>\n<td>\u4fdd\u7559\u9897\u7c92\u8d28\u611f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u4e09\u5c42\u53e0\u52a0\u540e\uff0c\u65e2\u6709\u7ec6\u5bc6\u7684\u9897\u7c92\uff0c\u53c8\u6709\u67d4\u548c\u7684\u6574\u4f53\u8f89\u5149\u3002<\/p>\n<p>\u8fd8\u6709\u4e00\u4e2a\u5bb9\u6613\u88ab\u5ffd\u7565\u7684\u95ee\u9898\uff1a\u624b\u673a\u5c4f\u5e55\u5c0f\uff0c\u540c\u6837 30 000 \u4e2a\u70b9\u6324\u5728\u66f4\u5c0f\u7684\u9762\u79ef\u91cc\uff0c\u91cd\u53e0\u4f1a\u66f4\u591a\uff0c\u4e2d\u5fc3\u5bb9\u6613\u8fc7\u66dd\u6210\u4e00\u5927\u5757\u767d\u8272\u3002\u6240\u4ee5\u6211\u6309\u70b9\u4e91\u5728\u5c4f\u5e55\u4e0a\u7684\u5b9e\u9645\u534a\u5f84\u505a\u4e86\u4e00\u6b21\u66dd\u5149\u8865\u507f\uff1a<\/p>\n<p><code>exposure = clamp((visR \/ 232)^1.1, 0.42, 1.02)<\/code><\/p>\n<p>\u5c4f\u5e55\u8d8a\u5c0f\uff0c\u5355\u70b9\u4eae\u5ea6\u8d8a\u4f4e\uff0c\u4e2d\u5fc3\u5c31\u80fd\u4fdd\u6301\u4e00\u4e2a\u7d27\u51d1\u7684\u767d\u8272\u6838\u5fc3\uff0c\u800c\u4e0d\u662f\u7cca\u6210\u4e00\u7247\u3002<\/p>\n<h3 id=\"45-hud\">4.5 \u80cc\u666f\u4e0e HUD<\/h3>\n<p>\u70b9\u4e91\u4e4b\u5916\u7684\u90e8\u5206\u57fa\u672c\u90fd\u662f CSS\uff1a<\/p>\n<ul>\n<li>\u661f\u91ce\u7528\u4e00\u5757\u72ec\u7acb\u7684 2D canvas \u753b\uff0c\u5e26\u7f13\u6162\u95ea\u70c1\uff1b<\/li>\n<li>\u80cc\u666f\u662f\u5f84\u5411\u6e10\u53d8\u53e0\u52a0\u7f51\u683c\u548c\u566a\u70b9\uff0c\u4e2d\u5fc3\u7559\u51fa\u7d2b\u8272\u5149\u6655\uff1b<\/li>\n<li>\u626b\u63cf\u7ebf\u3001\u56db\u89d2\u62ec\u53f7\u3001\u51c6\u661f\u3001\u5750\u6807\u523b\u5ea6\u90fd\u662f\u4f2a\u5143\u7d20\u6216\u5c0f div\uff1b<\/li>\n<li>\u539f\u5b50\u6838\u662f\u4e00\u4e2a\u5e26 <code>box-shadow<\/code> \u5149\u6655\u7684\u5c0f\u5706\u70b9\uff0c\u5916\u52a0\u547c\u5438\u52a8\u753b\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u6837 GPU \u53ea\u8d1f\u8d23\u6700\u91cd\u7684\u70b9\u4e91\uff0c\u754c\u9762\u88c5\u9970\u4ea4\u7ed9\u6d4f\u89c8\u5668\u5408\u6210\uff0c\u6027\u80fd\u548c\u6548\u679c\u90fd\u6bd4\u8f83\u5e73\u8861\u3002<\/p>\n<h2 id=\"_4\">\u4e94\u3001\u754c\u9762\uff1a\u628a\u5b9e\u9a8c\u5ba4\u88c5\u8fdb\u4e00\u5c4f<\/h2>\n<h3 id=\"51\">5.1 \u5e03\u5c40<\/h3>\n<p>\u684c\u9762\u7aef\u662f\u4e00\u4e2a\u4e24\u680f\u7f51\u683c\uff1a\u5de6\u8fb9\u662f\u5360\u6ee1\u5269\u4f59\u7a7a\u95f4\u7684 3D \u821e\u53f0\uff0c\u53f3\u8fb9\u662f 344\u2013412 px \u7684\u4eea\u8868\u76d8\u3002\u7a97\u53e3\u5bbd\u5ea6\u5c0f\u4e8e 940 px \u65f6\u5207\u6362\u6210\u5355\u680f\uff0c\u821e\u53f0\u56fa\u5b9a\u7ea6 54vh\uff0c\u4eea\u8868\u76d8\u4f9d\u6b21\u5806\u53e0\u5728\u4e0b\u9762\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/114.55.131.51\/wp-content\/uploads\/2026\/10\/hydrogen-cloud-preview-mobile.png'><img class=\"lazyload lazyload-style-none\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" loading=\"lazy\" alt=\"\u79fb\u52a8\u7aef\u4e0a\u4e0b\u5806\u53e0\u5e03\u5c40\" data-original=\"http:\/\/114.55.131.51\/wp-content\/uploads\/2026\/10\/hydrogen-cloud-preview-mobile.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" style=\"width:360px;max-width:100%;height:auto;display:block;margin:0 auto\" \/><\/div><\/p>\n<p>\u53f3\u4fa7\u9762\u677f\u4ece\u4e0a\u5230\u4e0b\u4f9d\u6b21\u662f\uff1a<\/p>\n<ul>\n<li>\u8f68\u9053\u540d\u4e0e n\u3001\u2113\u3001m \u4e09\u4e2a\u91cf\u5b50\u6570\u80f6\u56ca\uff1b<\/li>\n<li>\u27e8r\u27e9\u3001En\u3001\u8282\u9762\u6570\u91cf\uff1b<\/li>\n<li>\u5f84\u5411\u5206\u5e03\u66f2\u7ebf\uff1b<\/li>\n<li>\u91cf\u5b50\u6570\u9009\u62e9\u5668\u548c\u9884\u8bbe\u3002<\/li>\n<\/ul>\n<h3 id=\"52\">5.2 \u5f84\u5411\u5206\u5e03\u66f2\u7ebf<\/h3>\n<p>\u66f2\u7ebf\u7528 Canvas 2D \u753b\uff0c\u91c7\u6837 460 \u4e2a\u70b9\uff0c\u586b\u5145\u6e10\u53d8\u3001\u63cf\u8fb9\u53d1\u5149\uff0c\u5e76\u5728 \u27e8r\u27e9 \u5904\u753b\u4e00\u6761\u865a\u7ebf\u3002\u5207\u6362\u8f68\u9053\u65f6\u7528\u88c1\u526a\u533a\u57df\u505a\u4ece\u5de6\u5230\u53f3\u7684\u7ed8\u5236\u52a8\u753b\uff0c\u770b\u8d77\u6765\u50cf\u4eea\u5668\u5728\u91cd\u65b0\u626b\u63cf\u3002<\/p>\n<p>\u6a2a\u8f74\u523b\u5ea6\u7528\u300c1 \/ 2 \/ 2.5 \/ 5 \u00d7 10^k\u300d\u7684\u89c4\u5219\u53d6\u6574\uff0c\u907f\u514d\u51fa\u73b0 3.333 \u8fd9\u79cd\u523b\u5ea6\u3002<\/p>\n<h3 id=\"53\">5.3 \u4ea4\u4e92<\/h3>\n<ul>\n<li>\u62d6\u62fd\u65cb\u8f6c\uff1a\u8bb0\u5f55\u6307\u9488\u901f\u5ea6\uff0c\u677e\u624b\u540e\u6709\u8f7b\u5fae\u60ef\u6027\uff1b<\/li>\n<li>\u6eda\u8f6e\u7f29\u653e\uff1a\u9650\u5236\u5728 0.55\u20132.8 \u500d\uff1b<\/li>\n<li>\u53cc\u51fb\u590d\u4f4d\uff1a\u7528\u7f13\u52a8\u628a\u89c6\u89d2\u8f6c\u56de\u521d\u59cb\u89d2\u5ea6\uff1b<\/li>\n<li>\u81ea\u52a8\u65cb\u8f6c\uff1a\u9ed8\u8ba4\u5f00\u542f\uff0c\u62d6\u62fd\u65f6\u6682\u505c\uff0c\u677e\u624b 1.7 \u79d2\u540e\u6062\u590d\uff1b<\/li>\n<li>\u5feb\u6377\u952e\uff1a<code>1\u20136<\/code> \u5207\u6362\u4e3b\u91cf\u5b50\u6570\uff0c\u7a7a\u683c\u6682\u505c\u65cb\u8f6c\uff0c<code>R<\/code> \u590d\u4f4d\u89c6\u89d2\u3002<\/li>\n<\/ul>\n<p>\u91cf\u5b50\u6570\u9009\u62e9\u5668\u4f1a\u968f n\u3001\u2113 \u7684\u53d8\u5316\u91cd\u5efa\uff1an \u589e\u5927\u65f6 \u2113 \u7684\u53ef\u9009\u8303\u56f4\u53d8\u957f\uff0c\u2113 \u53d8\u5316\u65f6 m \u7684\u8303\u56f4\u8ddf\u7740\u53d8\uff0c\u9009\u4e2d\u7684\u503c\u8d85\u51fa\u8303\u56f4\u4f1a\u81ea\u52a8\u6536\u7f29\u5230\u5408\u6cd5\u503c\u3002<\/p>\n<h3 id=\"54\">5.4 \u5bfc\u51fa\u4e0e\u964d\u7ea7<\/h3>\n<p>\u300c\u5bfc\u51fa PNG\u300d\u4f1a\u628a\u661f\u91ce\u3001\u70b9\u4e91\u548c\u6807\u9898\u91cd\u65b0\u5408\u6210\u5230\u4e00\u5f20 2 \u500d\u5206\u8fa8\u7387\u7684\u753b\u5e03\u4e0a\uff0c\u4e0b\u8f7d\u4e3a\u56fe\u7247\u3002<\/p>\n<p>\u5982\u679c\u6d4f\u89c8\u5668\u4e0d\u652f\u6301 WebGL\uff0c\u9875\u9762\u4f1a\u81ea\u52a8\u6539\u7528 Canvas 2D\uff1a\u5728 JS \u91cc\u505a\u540c\u6837\u7684\u65cb\u8f6c\u548c\u6295\u5f71\uff0c\u7528 <code>fillRect<\/code> \u548c <code>lighter<\/code> \u6df7\u5408\u753b\u51fa\u70b9\u4e91\u3002\u6548\u679c\u4e0d\u5982 WebGL \u7ec6\u817b\uff0c\u4f46\u81f3\u5c11\u80fd\u770b\u3001\u80fd\u8f6c\u3002<\/p>\n<p>\u53e6\u5916\uff0c<code>prefers-reduced-motion<\/code> \u4e3a\u771f\u65f6\u4f1a\u81ea\u52a8\u5173\u95ed\u65cb\u8f6c\uff0c\u907f\u514d\u4e0d\u9002\u3002<\/p>\n<h2 id=\"_5\">\u516d\u3001\u9a8c\u8bc1\uff1a\u8ba9\u7269\u7406\u7ad9\u5f97\u4f4f<\/h2>\n<p>\u53ea\u9760\u300c\u770b\u8d77\u6765\u50cf\u300d\u662f\u4e0d\u591f\u7684\uff0c\u6240\u4ee5\u6211\u52a0\u4e86\u4e00\u4e2a\u81ea\u68c0\u6a21\u5f0f\uff08<code>?selftest=1<\/code>\uff09\uff1a\u5728\u5f88\u5bbd\u7684\u8303\u56f4\u4e0a\u6570\u503c\u79ef\u5206 <code>R\u00b2r\u00b2<\/code>\uff0c\u68c0\u67e5\u5f52\u4e00\u5316\uff1b\u518d\u7528 3 000 \u4e2a\u70b9\u62bd\u6837\uff0c\u6bd4\u8f83\u62bd\u6837 \u27e8r\u27e9 \u548c\u7406\u8bba\u503c\u3002<\/p>\n<table>\n<thead>\n<tr>\n<th>\u8f68\u9053<\/th>\n<th>\u5f52\u4e00\u5316\u79ef\u5206<\/th>\n<th>\u62bd\u6837 \u27e8r\u27e9 \/ \u7406\u8bba \u27e8r\u27e9<\/th>\n<th>\u76f8\u5bf9\u8bef\u5dee<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1s<\/td>\n<td>1.0000<\/td>\n<td>1.49 \/ 1.50<\/td>\n<td>0.6%<\/td>\n<\/tr>\n<tr>\n<td>2s<\/td>\n<td>1.0000<\/td>\n<td>6.07 \/ 6.00<\/td>\n<td>1.2%<\/td>\n<\/tr>\n<tr>\n<td>2p<\/td>\n<td>1.0000<\/td>\n<td>5.01 \/ 5.00<\/td>\n<td>0.2%<\/td>\n<\/tr>\n<tr>\n<td>3d<\/td>\n<td>1.0000<\/td>\n<td>10.50 \/ 10.50<\/td>\n<td>0.0%<\/td>\n<\/tr>\n<tr>\n<td>4f<\/td>\n<td>1.0000<\/td>\n<td>17.89 \/ 18.00<\/td>\n<td>0.6%<\/td>\n<\/tr>\n<tr>\n<td>6h<\/td>\n<td>1.0000<\/td>\n<td>39.06 \/ 39.00<\/td>\n<td>0.2%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5f52\u4e00\u5316\u5168\u90e8\u662f 1.0000\uff0c\u62bd\u6837\u5747\u503c\u8bef\u5dee\u90fd\u5728 1.2% \u4ee5\u5185\uff08\u754c\u9762\u91cc\u7528 30 000 \u70b9\uff0c\u8bef\u5dee\u66f4\u5c0f\uff09\u3002<\/p>\n<p>\u89c6\u89c9\u4e0a\u4e5f\u9010\u9879\u6838\u5bf9\u8fc7\uff1a2s \u662f\u7c89\u8272\u5185\u5c42\u52a0\u84dd\u8272\u5916\u5c42\uff1b3d \u662f\u56db\u74e3\uff1b4f \u662f\u516b\u74e3\uff1b6h \u7684 m = 5 \u4f1a\u5f62\u6210\u4e00\u5708\u4ea4\u66ff\u76f8\u4f4d\u7684\u9ad8\u9636\u82b1\u74e3\u3002<\/p>\n<h2 id=\"wordpress\">\u4e03\u3001\u90e8\u7f72\u5230 WordPress<\/h2>\n<p>\u9875\u9762\u672c\u8eab\u662f\u7eaf\u9759\u6001\u7684\uff0c\u6240\u4ee5\u90e8\u7f72\u975e\u5e38\u7b80\u5355\uff1a\u628a <code>index.html<\/code>\u3001<code>style.css<\/code>\u3001<code>app.js<\/code> \u4e09\u4e2a\u6587\u4ef6\u653e\u5230\u7ad9\u70b9\u7684 <code>\/cloud\/<\/code> \u76ee\u5f55\uff0cnginx \u76f4\u63a5\u4f5c\u4e3a\u9759\u6001\u6587\u4ef6\u8fd4\u56de\uff0c\u4e0d\u7ecf\u8fc7 PHP\u3002<\/p>\n<p>\u5165\u53e3\u6302\u5728 Argon \u4e3b\u9898\u7684\u4e24\u4e2a\u83dc\u5355\u4f4d\u7f6e\u4e0a\uff1a<\/p>\n<ul>\n<li><code>toolbar_menu<\/code>\uff1a\u684c\u9762\u7aef\u9876\u90e8\u5bfc\u822a\uff1b<\/li>\n<li><code>leftbar_menu<\/code>\uff1a\u5de6\u4fa7\u5361\u7247\u548c\u624b\u673a\u62bd\u5c49\u3002<\/li>\n<\/ul>\n<p>\u4e24\u4e2a\u4f4d\u7f6e\u5171\u7528\u540c\u4e00\u4e2a\u300c\u7ad9\u70b9\u5bfc\u822a\u300d\u83dc\u5355\uff0c\u91cc\u9762\u6709\u300c\u7535\u5b50\u4e91\u5b9e\u9a8c\u5ba4 <code>\/cloud\/<\/code>\u300d\u548c\u300c\u7ed3\u6784\u5f0f\u753b\u677f <code>\/structure\/<\/code>\u300d\u4e24\u4e2a\u81ea\u5b9a\u4e49\u94fe\u63a5\u3002\u7528\u76f8\u5bf9\u8def\u5f84\u7684\u597d\u5904\u662f\uff0c\u65e0\u8bba\u7ad9\u70b9\u4ee5\u540e\u7ed1\u5b9a IP \u8fd8\u662f\u57df\u540d\uff0c\u5165\u53e3\u90fd\u4e0d\u4f1a\u5931\u6548\u3002<\/p>\n<p>Argon \u9ed8\u8ba4\u5f00\u542f\u4e86 PJAX\u3002\u5b9e\u6d4b\u70b9\u51fb\u5165\u53e3\u65f6\uff0c\u9759\u6001\u9875\u627e\u4e0d\u5230\u4e3b\u9898\u9700\u8981\u7684 <code>#primary<\/code> \u5bb9\u5668\uff0cPJAX \u4f1a\u56de\u9000\u6210\u6574\u9875\u52a0\u8f7d\uff0c\u56e0\u6b64\u53ef\u4ee5\u6b63\u5e38\u6253\u5f00\uff0c\u4e0d\u4f1a\u51fa\u73b0\u534a\u622a\u9875\u9762\u3002<\/p>\n<p>\u6539\u52a8\u83dc\u5355\u524d\u6211\u5148\u5907\u4efd\u4e86\u6570\u636e\u5e93\uff0c\u786e\u8ba4\u6ca1\u95ee\u9898\u540e\u624d\u7ee7\u7eed\u3002<\/p>\n<h2 id=\"_6\">\u516b\u3001\u8fd8\u80fd\u600e\u4e48\u6539\u8fdb<\/h2>\n<ul>\n<li><strong>\u8f68\u9053\u5207\u6362\u52a8\u753b<\/strong>\uff1a\u73b0\u5728\u5207\u6362\u662f\u6de1\u5165\u6de1\u51fa\uff0c\u53ef\u4ee5\u8fdb\u4e00\u6b65\u5728\u4e24\u7ec4\u91c7\u6837\u70b9\u4e4b\u95f4\u63d2\u503c\uff0c\u8ba9\u300c\u53d8\u5f62\u300d\u8fc7\u7a0b\u8fde\u7eed\u53ef\u89c1\uff1b<\/li>\n<li><strong>\u66f4\u591a\u8f68\u9053<\/strong>\uff1a\u628a n \u653e\u5f00\u5230 8\uff0c\u6216\u8005\u52a0\u5165\u65f6\u95f4\u4f9d\u8d56\u6001\u3001\u53e0\u52a0\u6001\u7684\u5e72\u6d89\uff1b<\/li>\n<li><strong>\u91c7\u6837\u642c\u8fdb Web Worker<\/strong>\uff1a\u907f\u514d\u9ad8 n\u3001\u5927\u70b9\u6570\u65f6\u4e3b\u7ebf\u7a0b\u5361\u987f\uff1b<\/li>\n<li><strong>\u79bb\u5c4f\u6e32\u67d3 + \u8272\u8c03\u6620\u5c04<\/strong>\uff1a\u7528 FBO \u505a\u771f\u6b63\u7684 Bloom\uff0c\u800c\u4e0d\u662f\u591a\u5c42\u53e0\u52a0\u6a21\u62df\uff1b<\/li>\n<li><strong>WebGPU<\/strong>\uff1a\u628a 30 000 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