03 // 双向 STEM 与金融计算器 // 物理力学、电磁学与热力学计算器N = N₀ × (0.5)^(t / t_½)

放射性半衰期指数衰变计算器

利用 N(t) = N₀ × (0.5)^(t / t_½) 求解衰变后剩余量、初始样本量、经过时间或同位素半衰期。

N = N₀ × (0.5)^(t / t_½)
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: N(t) — Remaining Quantity
计算结果

Amount of substance remaining at time t

0.0011,000,000.00

Starting amount at t = 0

0.011,000,000.00

Total decay duration (same time unit as half-life)

0.01100,000.00
unit

Time required for quantity to reduce by 50%

0.01100,000.00
unit
计算结果 · Remaining Quantity (N(t))
12.5kg
单位换算:

分步代入计算过程

01Canonical Law: N = N₀ × (0.5)^(t / t_½)
02Given Inputs (Base Units): N₀ = 100 kg, t = 24, t_½ = 8
03Solve for N(t) (Remaining Quantity): N(t) = 12.5 kg

Exponential half-life decay determines the remaining quantity N of an unstable isotope, drug concentration, or decaying signal after elapsed time t given characteristic half-life t_½.

常见参考标准值

Carbon-14 Radiometric Datingt_½ = 5,730 Years

Organic archaeological dating standard

Iodine-131 Medical Isotopet_½ = 8.02 Days

After 3 half-lives (24 days), 12.5% remains

5 Half-Lives Rule of Thumb(0.5)⁵ = 3.125% Remaining

96.875% clearance threshold in pharmacokinetics

20 行数值对照表

Remaining Quantity (N(t)) · Initial Quantity (N₀)

Radioactive Half-Life Exponential Decay Calculator — Initial Quantity → Remaining Quantity
#Initial Quantity (kg)Remaining Quantity (kg)Δ %
01100 kg当前12.5 kg0.00%
027,242.11 kg905.2643 kg+7142.11%
0314,484.22 kg1,810.53 kg+14384.22%
0421,726.32 kg2,715.79 kg+21626.32%
0528,968.43 kg3,621.05 kg+28868.43%
0636,210.53 kg4,526.32 kg+36110.53%
0743,452.64 kg5,431.58 kg+43352.64%
0850,694.74 kg6,336.84 kg+50594.74%
0957,936.85 kg7,242.11 kg+57836.85%
1065,178.95 kg8,147.37 kg+65078.95%
1172,421.06 kg9,052.63 kg+72321.06%
1279,663.16 kg9,957.90 kg+79563.16%
1386,905.27 kg10,863.16 kg+86805.27%
1494,147.37 kg11,768.42 kg+94047.37%
15101,389.48 kg12,673.68 kg+101289.48%
16108,631.58 kg13,578.95 kg+108531.58%
17115,873.68 kg14,484.21 kg+115773.68%
18123,115.79 kg15,389.47 kg+123015.79%
19130,357.89 kg16,294.74 kg+130257.89%
20137,600.00 kg17,200.00 kg+137500.00%
这个工具对您有帮助吗?

常见问题解答 (FAQ)

如何使用在线 放射性半衰期指数衰变计算器 工具?+

输入已知参数或拖动滑块,即可在浏览器中实时计算并可视化 放射性半衰期指数衰变计算器(基于关系式 N = N₀ × (0.5)^(t / t_½))。利用 N(t) = N₀ × (0.5)^(t / t_½) 求解衰变后剩余量、初始样本量、经过时间或同位素半衰期。

可以导出或打印 放射性半衰期指数衰变计算器 的结果吗?+

可以。支持一键复制数据、打印计算工作表或导出高清 SVG、PNG 和 CSV 文件。

我可以清空 放射性半衰期指数衰变计算器 中的示例数据并从空白状态开始吗?+

可以。点击工具顶部的“清空 / 空白开始”按钮即可重置所有输入项,随时也可一键重新加载示例数据。