⚛️ 量子物理工具

⚛️ 光子动量计算器Photon Momentum 光子动量计算器由波长求光子的相对论动量 p=h/λ，适合光压、康普顿散射与量子光学中的光子动量估算。Photon Momentum - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 光子能量计算器Photon Energy 光子能量计算器由频率或波长求光子能量 E=hν=hc/λ，适合光学、原子物理与光电探测中的单光子能量换算。Photon Energy - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 光电效应计算器Photoelectric Effect 输入入射光频率（或波长）与金属功函数，工具按爱因斯坦方程计算光电子最大初动能，判断能否发生光电效应并给出截止频率，适用于光电管与光伏原理演示。Photoelectric Effect - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 回旋频率计算器Cyclotron Frequency 回旋频率计算器求带电粒子在匀强磁场中的回旋角频率 ω=qB/m，适合回旋加速器、等离子体物理与粒子运动分析。Cyclotron Frequency - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 康普顿散射位移计算器Compton Shift 康普顿散射位移计算器求 X 射线经电子散射后的波长改变量，由散射角确定，适合康普顿效应与光子-电子相互作用分析。Compton Shift - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 德布罗意波长计算器De Broglie Wavelength 德布罗意波长计算器由动量 p 求物质波波长 λ=h/p，适合电子显微镜、量子力学与波粒二象性教学中的波长估算。De Broglie Wavelength - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 无限深势阱能级计算器Infinite Well Energy 无限深势阱能级计算器求一维方势阱中粒子的离散能级 E_n，由势阱宽度与质量确定，适合量子力学定态问题与教学演示。Infinite Well Energy - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 氢原子能级计算器Hydrogen Energy Level 氢原子能级计算器求第 n 能级的能量 E_n=−13.6/n² eV，适合玻尔模型、光谱与原子物理中的能级与跃迁分析。Hydrogen Energy Level - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 海森堡不确定性Heisenberg Uncertainty 海森堡不确定性计算器求位置与动量不确定度乘积的下限 Δx·Δp≥ħ/2，适合量子力学原理演示与测量极限讨论。Heisenberg Uncertainty - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 玻尔轨道半径计算器Bohr Orbit Radius 玻尔轨道半径计算器求氢原子第 n 轨道半径（玻尔半径的整数平方倍），适合原子结构模型与量子物理教学演示。Bohr Orbit Radius - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 🔄 由主量子数求角动量Angular Momentum Quant 由主量子数求角动量工具依据 L=√(l(l+1))·ħ 或简化 L=n·ħ 由量子数 n 求轨道角动量，适合原子物理与量子力学习题。Angular Momentum Quant - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚡ 由功率与波长求每秒光子数Photon Flux 输入光功率 P 与波长 λ，工具按 N=P·λ/(hc) 计算每秒到达的光子数（光子通量），便于比较不同波长光源的单光子通量，用于光学探测与量子光源估算。Photon Flux - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚡ 由带隙能量求吸收/发射波长Band Gap Photon 输入半导体或材料的带隙能量 E_g（电子伏特），工具按 λ=hc/E_g 计算对应的吸收或发射光子波长（纳米），便于判断材料发光的颜色或可被何种波长光激发。Band Gap Photon - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 🕐 由时间不确定度求能量展宽Energy Time Uncertainty 输入粒子存在的时间不确定度 Δt，工具按海森堡不确定性关系 ΔE≥ℏ/(2Δt) 计算最小能量展宽，说明寿命越短的状态能级越宽，适用于激发态与自然线宽估算。Energy Time Uncertainty - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 🌡️ 由温度与质量求热德布罗意波长Thermal De Broglie 输入粒子质量 m 与温度 T，工具按 λ=h/√(2πmkT) 计算热德布罗意波长，用于判断气体在何条件下呈现量子简并（波长与间距相当），适用于玻色-爱因斯坦凝聚等分析。Thermal De Broglie - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ✂️ 由磁场求相邻能级分裂Zeeman Splitting 输入磁感应强度 B，工具按 ΔE=μ_B·B 计算相邻塞曼子能级的能量差，说明外加磁场使能级等距分裂，用于原子光谱塞曼效应与磁场强度的光谱标定。Zeeman Splitting - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 🧲 由磁量子数求磁矩Spin Magnetic Moment 输入轨道磁量子数 m_l，工具按 μ=μ_B·m_l 计算轨道磁矩大小（以玻尔磁子 μ_B 为单位），说明不同磁量子数对应的空间取向磁矩，用于原子磁性与塞曼效应理解。Spin Magnetic Moment - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 〰️ 由粒子质量求康普顿波长Compton Wavelength 由粒子质量求康普顿波长工具依据 λ_c=h/(mc) 求粒子的康普顿波长，输入质量输出波长，适合粒子物理与量子效应学习。Compton Wavelength - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 📈 由能级与频率求能量Quantum Oscillator Energy 输入谐振子能级量子数 n 与振动频率 f，工具按 E_n=ℏω(n+½) 计算对应能级能量，演示量子谐振子能级等间距且存在零点能的特性，适用于分子振动与晶格声子分析。Quantum Oscillator Energy - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 📊 由能级差与温度求粒子数之比Boltzmann Population 输入两能级差 ΔE（eV）与绝对温度 T，工具按玻尔兹曼分布 N₂/N₁=exp(−ΔE/kT) 计算高能级与低能级粒子数之比，说明温度越高高能级占据越多，用于理解热平衡下的布居。Boltzmann Population - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 📦 由自由电子密度求费米能Fermi Energy 3d 输入自由电子数密度 n 与有效质量 m，工具按三维自由电子气公式 E_F=(ℏ²/2m)(3π²n)^{2/3} 计算费米能，用于金属与半导体中电子最高占据能级的估算。Fermi Energy 3d - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ☀️ 由逸出功求截止频率Photoelectric Threshold 由逸出功求截止频率工具依据 f₀=φ/h 由金属逸出功（eV）求光电效应截止频率，适合光电效应与量子物理习题。Photoelectric Threshold - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 🔥 由面积与温度求辐射功率Stefan Boltzmann Power 输入黑体表面积 A 与绝对温度 T，工具按斯特藩-玻尔兹曼定律 P=σ·A·T⁴ 计算总辐射功率，说明辐射随温度四次方急剧上升，用于恒星、加热器与热辐射估算。Stefan Boltzmann Power - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. 📻 由频率求电磁波波长Wavelength - Frequency Convert Calculator - Wavelength - Frequency Convert : Input f , Output λ( nm ) 由频率求电磁波波长工具依据 λ=c/f 由频率求波长，覆盖射频到光波段，适合电磁学、通信与光学中的波长频率换算。Wavelength - Frequency Convert Calculator - Wavelength - Frequency Convert : Input f , Output λ( nm ) - free online tool. ⚛️ 电子对产生阈能计算器Pair Production Threshold 电子对产生阈能计算器求光子产生正负电子对所需最小能量（≥2m_ec²），适合高能物理与伽马射线与物质相互作用分析。Pair Production Threshold - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 维恩位移定律计算器Wien Displacement 维恩位移定律计算器求黑体辐射峰值波长与温度的反比关系 λ_max·T=b，适合热辐射、恒星温度估算与红外物理学习。Wien Displacement - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 质能等价计算器Mass Energy Equivalence 质能等价（E=mc²）在线计算器，输入质量求得对应能量，或反向由能量求质量，用于核物理与相对论教学，纯前端。Mass Energy Equivalence - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools. ⚛️ 里德伯波长计算器Rydberg Wavelength 里德伯波长计算器求氢原子谱线波长（由初末能级与里德伯常数确定），适合巴尔末系等发射/吸收光谱的波长推算。Rydberg Wavelength - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Quantum Physics tools.