In this paper, we develop the theory of chirp mixing in NMR spectroscopy. The working principle is simple, given coupled homonuclear spins with offsets in range [-B,B]$[-B\text{,}B]$, we adiabatically sweep through the resonances. This achieves cross polarization between the z magnetization of the coupled spins. We repeat this basic operation many times with a supercycle to achieve appropriate mixing time. When we sweep through the resonances, midway between the resonances of the coupled spin I and S , the effective field seen by two spins is the same and hence they precess at same frequency around their effective fields. This means the coupling, which normally gets averaged out due to the chemical shift difference is no more averaged out for a short time and we get mixing. In this paper, we develop these basic ideas. By virtue of its design, the chirp mixing is much more broadband compared to state of the art methods. The proposed methodology is demonstrated on ¹³${}^{13}$C mixing in a sample of Alanine.

在本文中，我们开发了NMR光谱中chi混合的理论。给定具有范围[-B，B]的耦合同核自旋，其工作原理很简单$[--乙\text{，}乙]$，我们绝热地扫荡了共振。这在耦合的自旋的z磁化之间实现了交叉极化。我们用一个超级循环多次重复此基本操作，以达到适当的混合时间。当我们扫过共振时，位于自旋I和S的共振之间，两次旋转看到的有效场相同，因此它们在其有效场周围以相同的频率进动。这意味着通常由于化学位移差异而被平均化的偶合在短时间内不再被平均化，我们开始混合。在本文中，我们提出了这些基本思想。凭借其设计，线性调频混合比最先进的方法具有更高的宽带性。建议的方法在¹³上得到了证明${}^{13}$C在丙氨酸样品中混合。