diff --git a/dmff/api/graph.py b/dmff/api/graph.py
index 5e4085581..0096e5e68 100644
--- a/dmff/api/graph.py
+++ b/dmff/api/graph.py
@@ -14,14 +14,28 @@
     import warnings
     warnings.warn("RDKit is not installed. SMIRKS pattern matching cannot be used.")
 
+def is_same_list(l1, l2):
+    if len(l1) != len(l2):
+        return False
+    for nn in range(len(l1)):
+        if l1[nn] != l2[nn]:
+            return False
+    return True
 
 def matchTemplate(graph, template):
     if graph.number_of_nodes() != template.number_of_nodes():
         # print("Node with different number of nodes.")
         return False, {}, {}
 
-    def match_func(n1, n2):
-        return n1["element"] == n2["element"] and n1["external_bond"] == n2["external_bond"]
+    name_graph = sorted([i[1]['name'] for i in graph.nodes.data()])
+    name_template = sorted([i[1]['name'] for i in template.nodes.data()])
+
+    if is_same_list(name_graph, name_template):
+        def match_func(n1, n2):
+            return n1["element"] == n2["element"] and n1["external_bond"] == n2["external_bond"] and n1['name'] == n2['name']
+    else:
+        def match_func(n1, n2):
+            return n1["element"] == n2["element"] and n1["external_bond"] == n2["external_bond"]
     
     def edge_match(e1, e2):
         if len(e1) == 0 and len(e2) == 0:
diff --git a/dmff/classical/intra.py b/dmff/classical/intra.py
index 0625f48ee..76843b979 100644
--- a/dmff/classical/intra.py
+++ b/dmff/classical/intra.py
@@ -1,5 +1,7 @@
+import jax
 import jax.numpy as jnp
 from jax import grad, value_and_grad, vmap
+from ..admp.spatial import v_pbc_shift
 
 
 def distance(p1v, p2v):
@@ -14,6 +16,13 @@ def angle(p1v, p2v, p3v):
     vzz = v1[:, 2] * v2[:, 2]
     return jnp.arccos(vxx + vyy + vzz)
 
+@jax.vmap
+def angle_v(v1, v2):
+    # compute the angle between v1 and v2
+    v1n = v1 / jnp.linalg.norm(v1)
+    v2n = v2 / jnp.linalg.norm(v2)
+    return jnp.arccos(jnp.dot(v1n, v2n))
+
 
 def dihedral(i, j, k, l):
     b1, b2, b3 = j - i, k - j, l - k
@@ -72,12 +81,15 @@ def __init__(self, p1idx, p2idx, p3idx, prmidx):
 
     def generate_get_energy(self):
         def get_energy(positions, box, pairs, k, theta0):
+            box_inv = jnp.linalg.inv(box + jnp.eye(3) * 1e-36)
             p1 = positions[self.p1idx,:]
             p2 = positions[self.p2idx,:]
             p3 = positions[self.p3idx,:]
+            v1 = v_pbc_shift(p1 - p2, box, box_inv)
+            v2 = v_pbc_shift(p3 - p2, box, box_inv)
             kprm = k[self.prmidx]
             theta0prm = theta0[self.prmidx]
-            ang = angle(p1, p2, p3)
+            ang = angle_v(v1, v2)
             return jnp.sum(0.5 * kprm * jnp.power(ang - theta0prm, 2))
 
         return get_energy
diff --git a/dmff/generators/classical.py b/dmff/generators/classical.py
index b865f6b88..626957ade 100644
--- a/dmff/generators/classical.py
+++ b/dmff/generators/classical.py
@@ -418,7 +418,6 @@ def createPotential(self, topdata: DMFFTopology, nonbondedMethod,
         angle_a3 = jnp.array(angle_a3)
         angle_indices = jnp.array(angle_indices)
 
-        # 创建势函数
         harmonic_angle_force = HarmonicAngleJaxForce(
             angle_a1, angle_a2, angle_a3, angle_indices)
         harmonic_angle_energy = harmonic_angle_force.generate_get_energy()
@@ -427,7 +426,6 @@ def createPotential(self, topdata: DMFFTopology, nonbondedMethod,
         if "has_aux" in kwargs and kwargs["has_aux"]:
             has_aux = True
 
-        # 包装成统一的potential_function函数形式，传入四个参数：positions, box, pairs, parameters。
         def potential_fn(positions: jnp.ndarray, box: jnp.ndarray, pairs: jnp.ndarray, params: ParamSet, aux=None):
             isinstance_jnp(positions, box, params)
             energy = harmonic_angle_energy(