⚗️ 化学方程式配平Chemical Equation Balancer

使用说明与常见问题How-to & FAQ

「化学方程式配平」是什么？What is the Chemical Equation Balancer tool?

输入未配平的化学方程式（如 Fe + O2 = Fe2O3），用线性代数精确求出最小整数系数，支持括号、结晶水（CuSO4·5H2O）和离子电荷（Ag^+、SO4^2-），并列出两边各元素的原子数核对。Enter an unbalanced chemical equation such as Fe + O2 = Fe2O3 to get the smallest whole-number coefficients by exact linear algebra — with parentheses, hydrates (CuSO4·5H2O) and ionic charges (Ag^+, SO4^2-) — and an atom count for each side to check.

如何使用「化学方程式配平」？How do I use the Chemical Equation Balancer tool?

在「化学方程式配平」中，填写「化学方程式（反应物 = 生成物，用 + 分隔）」等参数，结果会随输入实时计算并显示在下方。In the Chemical Equation Balancer: Fill in "Equation (reactants = products, separated by +)"; results are recalculated instantly as you type.

配平是怎么算的？How does the balancing work?

每种元素（以及电荷）在反应前后必须守恒，把每种物质的原子数排成矩阵，求齐次方程组的整数解（零空间），再化成最小正整数系数。全程分数精确计算，不靠试错。Each element (and the charge) must be conserved, so the atom counts form a matrix and the coefficients are a whole-number solution of the homogeneous system (its null space), scaled to the smallest positive integers. It is exact, not trial and error.

怎么输入括号、结晶水和离子？How do I enter groups, hydrates and ions?

括号用 ( ) 或 [ ]，如 Ca3(PO4)2；结晶水用 · 或 * 或 .，如 CuSO4·5H2O；离子电荷写在末尾并加 ^，如 Ag^+、Fe^3+、SO4^2-；暂不支持含电子 e⁻ 的半反应式。元素符号首字母必须大写（Co 是钴，CO 是一氧化碳）。Use ( ) or [ ] for groups, as in Ca3(PO4)2; ·, * or . for hydrates, as in CuSO4·5H2O; and ^ for a charge at the end: Ag^+, Fe^3+, SO4^2-. Half-reactions with electrons (e⁻) are not supported. Element symbols need a capital first letter (Co is cobalt, CO is carbon monoxide).

为什么提示有多组配平方式？Why does it say there are several ways to balance?

有些方程式其实是两个或更多独立反应的组合（如 H2 + O2 = H2O + H2O2），系数有无穷多组不成比例的解。这时需要分开写每个反应。Some equations combine two or more independent reactions (like H2 + O2 = H2O + H2O2), so there are infinitely many non-proportional answers. Write each reaction separately.

计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?

「化学方程式配平」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Chemical Equation Balancer uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.

「化学方程式配平」免费吗？需要注册吗？Is the Chemical Equation Balancer free? Do I need an account?

「化学方程式配平」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Chemical Equation Balancer is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.