Pandas 按条件取数据（在另外一个dataframe中的两列时间之间的数据）?

Question

如果 df['Tool/Chamber']与dfevent['Tool/Chamber'] 相等，且 df[’Start time’]在dfevent[‘StartTime’],fevent[‘EndTime’]之间，则取出满足条件的df行。
每个tool/Chamber 每个月有大于2次事件PM, event1, event2 要分别去dfevent 里面取各自的startTime, EndTime 进行判断
dfevent:

Tool/Chamber    Type    Step    StartTime    EndTime    Cost    PM Date    Tool/Chamber/Date
760    GTV417/PM-6    Mini    07_Season    2022-08-31 20:28:00    2022-09-01 01:16:00    4.800000    08-31    GTV417/PM-6 08-31
771    GTV417/PM-5    Full    07_Season    2022-09-04 11:03:00    2022-09-04 15:51:00    4.800000    09-04    GTV417/PM-5 09-04
782    GTV417/PM-1    Full    07_Season    2022-09-07 21:01:00    2022-09-08 15:05:00    18.066667    09-07    GTV417/PM-1 09-07
793    GTV417/PM-2    Full    07_Season    2022-09-09 09:28:00    2022-09-09 14:16:00    4.800000    09-09    GTV417/PM-2 09-09
804    GTV417/PM-3    Full    07_Season    2022-09-10 20:33:00    2022-09-11 01:00:00    4.450000    09-10    GTV417/PM-3 09-10
815    GTV417/PM-4    Full    07_Season    2022-09-19 11:18:00    2022-09-19 15:55:00    4.616667    09-19    GTV417/PM-4 09-19
826    GTV417/PM-5    Mini    07_Season    2022-09-25 23:57:00    2022-09-26 04:47:00    4.833333    09-25    GTV417/PM-5 09-25
837    GTV417/PM-6    Full    07_Season    2022-09-26 09:15:00    2022-09-26 16:03:00    6.800000    09-26    GTV417/PM-6 09-26
848    GTV417/PM-1    Mini    07_Season    2022-09-30 08:54:00    2022-09-30 13:39:00    4.750000    09-30    GTV417/PM-1 09-30
859    GTV417/PM-3    Mini    07_Season    2022-10-05 08:56:00    2022-10-05 13:43:00    4.783333    10-05    GTV417/PM-3 10-05

df:

自己写的有点问题，丢了很多应该有的数据：

 dfevent.loc[:, ['StartTime', 'EndTime']] = dfevent[['StartTime', 'EndTime']].apply(pd.to_datetime)

df.loc[:, ['Start time', 'End time']] = df[['Start time', 'End time']].apply(pd.to_datetime)

df1 = dfevent.merge(df, on = 'Tool/Chamber',how ='right').drop_duplicates()#[['Tool/Chamber','Type','StartTime1','EndTime1']]

idx = df1[df1['Start time1'].between(df1['StartTime1'], df1['EndTime1'])].index 
dfF = df1.iloc[idx,:]