in the hope of something; in the hope that…because you want something to happen 抱着…的希望
I called early in the hope of catching her before she went to work. 我很早就打了个电话,希望在她上班之前找到她。
He asked her again in the vain hope that he could persuade her to come(= it was impossible). 他又问了她一次,徒然指望着能说服她来。
to little/no avail: with little or no success 没有什么效果;不成功
The doctors tried everything to keep him alive but to no avail. 医生千方百计想使他活下来,但无济于事.